EX-10.2




 Exhibit 10.2 

REGISTRATION RIGHTS AGREEMENT 

REGISTRATION RIGHTS AGREEMENT (this “Agreement”), dated as of August 2, 2022, by and between
PLUS THERAPEUTICS, INC., a Delaware corporation (the “Company”), and LINCOLN PARK CAPITAL FUND, LLC, an Illinois limited liability company (together with it permitted assigns, the
“Buyer”). Capitalized terms used herein and not otherwise defined herein shall have the respective meanings set forth in the Purchase Agreement by and between the parties hereto, dated as of the date hereof (as amended, restated,
supplemented or otherwise modified from time to time, the “Purchase Agreement”). 
 WHEREAS: 

The Company has agreed, upon the terms and subject to the conditions of the Purchase Agreement, to sell to the Buyer up to
Fifty Million Dollars ($50,000,000) of Purchase Shares and to induce the Buyer to enter into the Purchase Agreement, the Company has agreed to provide certain registration rights under the Securities Act of 1933, as amended, and the rules and
regulations thereunder, or any similar successor statute (collectively, the “Securities Act”), and applicable state securities laws. 

NOW, THEREFORE, in consideration of the promises and the mutual covenants contained herein and other good and valuable
consideration, the receipt and sufficiency of which are hereby acknowledged, the Company and the Buyer hereby agree as follows: 

1. DEFINITIONS. 

As used in this Agreement, the following terms shall have the following meanings: 

a. “Investor” means the Buyer, any transferee or assignee thereof to whom a Buyer assigns its rights under
this Agreement in accordance with Section 9 and who agrees to become bound by the provisions of this Agreement, and any transferee or assignee thereof to whom a transferee or assignee assigns its rights under this Agreement in accordance with
Section 9 and who agrees to become bound by the provisions of this Agreement. 
 b. “Person” means any
individual or entity including but not limited to any corporation, a limited liability company, an association, a partnership, an organization, a business, an individual, a governmental or political subdivision thereof or a governmental agency. 

c. “Register,” “registered,” and “registration” refer to a registration
effected by preparing and filing one or more registration statements of the Company in compliance with the Securities Act and pursuant to Rule 415 under the Securities Act or any successor rule providing for offering securities on a continuous basis
(“Rule 415”), and the declaration or ordering of effectiveness of such registration statement(s) by the United States Securities and Exchange Commission (the “SEC”). 

d. “Registrable Securities” means all of the Commitment Shares (including all of the Initial Commitment
Shares and all of the Additional Commitment Shares) and all of the Purchase Shares that may, from time to time, be issued or become issuable to the Investor under the Purchase Agreement (without regard to any limitation or restriction on purchases),
and any and all shares of capital stock issued or issuable with respect to the Purchase Shares, the Commitment Shares or the Purchase Agreement as a result of any stock split, stock dividend, recapitalization, exchange or similar event or
otherwise, without regard to any limitation on purchases under the Purchase Agreement. 
 e. “Registration
Statement” means one or more registration statements of the Company covering only the resale of the Registrable Securities. 











 2. REGISTRATION. 

a. Mandatory Registration. The Company shall, within thirty (30) Business Days after the date hereof, file with
the SEC an initial Registration Statement covering the maximum number of Registrable Securities, which shall include all of the Initial Commitment Shares and all of the Additional Commitment Shares that are issuable to the Investor pursuant to and
in accordance with Section 5(e) of the Purchase Agreement, as shall be permitted to be included thereon in accordance with applicable SEC rules, regulations and interpretations so as to permit the resale of such Registrable Securities by the
Investor under Rule 415 under the Securities Act at then prevailing market prices (and not fixed prices), as mutually determined by both the Company and the Investor in consultation with their respective legal counsel, subject to the aggregate
number of authorized shares of the Company’s Common Stock then available for issuance in its Certificate of Incorporation. The initial Registration Statement shall register only the Registrable Securities. The Investor and its counsel shall
have a reasonable opportunity to review and comment upon such Registration Statement and any amendment or supplement to such Registration Statement and any related prospectus prior to its filing with the SEC, and the Company shall give due
consideration to all such comments. The Investor shall furnish all information reasonably requested by the Company for inclusion therein. The Company shall use commercially reasonable efforts to have the Registration Statement and any amendment
declared effective by the SEC at the earliest possible date. The Company shall use commercially reasonable efforts to keep the Registration Statement effective pursuant to Rule 415 promulgated under the Securities Act and available for the resale by
the Investor of all of the Registrable Securities covered thereby at all times until the date on which the Investor shall have resold all the Registrable Securities covered thereby and no Available Amount remains under the Purchase Agreement (the
“Registration Period”). The Registration Statement (including any amendments or supplements thereto and prospectuses contained therein) shall not contain any untrue statement of a material fact or omit to state a material fact
required to be stated therein, or necessary to make the statements therein, in light of the circumstances in which they were made, not misleading. 

b. Rule 424 Prospectus. The Company shall, as required by applicable securities regulations, from time to time file
with the SEC, pursuant to Rule 424 promulgated under the Securities Act, the prospectus and prospectus supplements, if any, to be used in connection with sales of the Registrable Securities under the Registration Statement. The Investor and its
counsel shall have a reasonable opportunity to review and comment upon such prospectus prior to its filing with the SEC, and the Company shall give due consideration to all such comments. The Investor shall use its reasonable best efforts to comment
upon such prospectus within one (1) Business Day from the date the Investor receives the final pre-filing version of such prospectus. 

c. Sufficient Number of Shares Registered. In the event the number of shares available under the Registration Statement
is insufficient to cover all of the Registrable Securities, the Company shall amend the Registration Statement or file a new Registration Statement (a ”New Registration Statement”), so as to cover all of such Registrable Securities
(subject to the limitations set forth in Section 2(a)) as soon as reasonably practicable, but in any event not later than ten (10) Business Days after the necessity therefor arises, subject to any limits that may be imposed by the SEC
pursuant to Rule 415 under the Securities Act. The Company shall use its reasonable best efforts to cause such amendment and/or New Registration Statement to become effective as soon as reasonably practicable following the filing thereof. 

d. Offering. If the staff of the SEC (the “Staff”) or the SEC seeks to characterize any offering
pursuant to a Registration Statement filed pursuant to this Agreement as constituting an offering of securities that does not permit such Registration Statement to become effective and be used for resales by the Investor under Rule 415 at
then-prevailing market prices (and not fixed prices), or if after the filing of the initial Registration Statement with the SEC pursuant to Section 2(a), the Company is otherwise 

  
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required by the Staff or the SEC to reduce the number of Registrable Securities included in such initial Registration Statement, then the Company shall reduce the number of Registrable Securities
to be included in such initial Registration Statement (with the prior consent, which shall not be unreasonably withheld, of the Investor and its legal counsel as to the specific Registrable Securities to be removed therefrom) until such time as the
Staff and the SEC shall so permit such Registration Statement to become effective and be used as aforesaid. In the event of any reduction in Registrable Securities pursuant to this paragraph, the Company shall file one or more New Registration
Statements in accordance with Section 2(c) until such time as all Registrable Securities have been included in Registration Statements that have been declared effective and the prospectuses contained therein is available for use by the
Investor. Notwithstanding any provision herein or in the Purchase Agreement to the contrary, the Company’s obligations to register Registrable Securities (and any related conditions to the Investor’s obligations) shall be qualified as
necessary to comport with any requirement of the SEC or the Staff as addressed in this Section 2(d). 
 3. RELATED
OBLIGATIONS. 
 With respect to the Registration Statement and whenever any Registrable Securities are to be registered
pursuant to Section 2 including on any New Registration Statement, the Company shall use its reasonable best efforts to effect the registration of the Registrable Securities in accordance with the intended method of disposition thereof and,
pursuant thereto, the Company shall have the following obligations: 
 a. The Company shall prepare and file with the SEC
such amendments (including post-effective amendments) and supplements to any Registration Statement and the prospectus used in connection with such Registration Statement, which prospectus is to be filed pursuant to Rule 424 promulgated under the
Securities Act, as may be necessary to keep the Registration Statement or any New Registration Statement effective at all times during the Registration Period, and, during such period, comply with the provisions of the Securities Act with respect to
the disposition of all Registrable Securities of the Company covered by the Registration Statement or any New Registration Statement until such time as all of such Registrable Securities shall have been disposed of in accordance with the intended
methods of disposition by the Investor as set forth in such Registration Statement. 
 b. The Company shall permit the
Investor to review and comment upon the Registration Statement or any New Registration Statement and all amendments and supplements thereto at least two (2) Business Days prior to their filing with the SEC, and not file any such document in a
form to which Investor reasonably objects. The Investor shall use its reasonable best efforts to comment upon the Registration Statement or any New Registration Statement and any amendments or supplements thereto within two (2) Business Days
from the date the Investor receives the final version thereof. The Company shall furnish to the Investor, without charge any correspondence from the SEC or the staff of the SEC to the Company or its representatives relating to the Registration
Statement or any New Registration Statement. 
 c. Upon request of the Investor, the Company shall furnish to the Investor,
(i) promptly after the same is prepared and filed with the SEC, at least one copy of such Registration Statement and any amendment(s) thereto, including financial statements and schedules, all documents incorporated therein by reference and all
exhibits, (ii) upon the effectiveness of any Registration Statement, a copy of the prospectus included in such Registration Statement and all amendments and supplements thereto (or such other number of copies as the Investor may reasonably
request) and (iii) such other documents, including copies of any preliminary or final prospectus, as the Investor may reasonably request from time to time in order to facilitate the disposition of the Registrable Securities owned by the
Investor. For the avoidance of doubt, any filing available to the Investor via the SEC’s EDGAR system shall be deemed “furnished to the Investor” hereunder. 

  
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 d. The Company shall use reasonable best efforts to (i) register and
qualify the Registrable Securities covered by a Registration Statement under such other securities or “blue sky” laws of such jurisdictions in the United States as the Investor reasonably requests, (ii) prepare and file in those
jurisdictions, such amendments (including post-effective amendments) and supplements to such registrations and qualifications as may be necessary to maintain the effectiveness thereof during the Registration Period, (iii) take such other
actions as may be reasonably necessary to maintain such registrations and qualifications in effect at all times during the Registration Period, and (iv) take all other actions reasonably necessary or advisable to qualify the Registrable
Securities for sale in such jurisdictions; provided, however, that the Company shall not be required in connection therewith or as a condition thereto to (x) qualify to do business in any jurisdiction where it would not otherwise be required to
qualify but for this Section 3(d), (y) subject itself to general taxation in any such jurisdiction, or (z) file a general consent to service of process in any such jurisdiction. The Company shall promptly notify the Investor who holds
Registrable Securities of the receipt by the Company of any notification with respect to the suspension of the registration or qualification of any of the Registrable Securities for sale under the securities or “blue sky” laws of any
jurisdiction in the United States or its receipt of actual notice of the initiation or threatening of any proceeding for such purpose. 

e. As promptly as practicable after becoming aware of such event or facts, the Company shall notify the Investor in writing of
the happening of any event or existence of such facts as a result of which the prospectus included in any Registration Statement, as then in effect, includes an untrue statement of a material fact or omits to state a material fact required to be
stated therein or necessary to make the statements therein, in light of the circumstances under which they were made, not misleading, and promptly prepare a supplement or amendment to such Registration Statement to correct such untrue statement or
omission, and deliver a copy of such supplement or amendment to the Investor (or such other number of copies as the Investor may reasonably request). The Company shall also promptly notify the Investor in writing (i) when a prospectus or any
prospectus supplement or post-effective amendment has been filed, and when a Registration Statement or any post-effective amendment has become effective (notification of such effectiveness shall be delivered to the Investor by email or facsimile on
the same day of such effectiveness and by overnight mail), (ii) of any request by the SEC for amendments or supplements to any Registration Statement or related prospectus or related information, and (iii) of the Company’s reasonable
determination that a post-effective amendment to a Registration Statement would be appropriate. 
 f. The Company shall use
its reasonable best efforts to prevent the issuance of any stop order or other suspension of effectiveness of any Registration Statement, or the suspension of the qualification of any Registrable Securities for sale in any jurisdiction and, if such
an order or suspension is issued, to obtain the withdrawal of such order or suspension at the earliest possible moment and to notify the Investor of the issuance of such order and the resolution thereof or its receipt of actual notice of the
initiation or threat of any proceeding for such purpose. 
 g. The Company shall (i) cause all the Registrable
Securities to be listed on each securities exchange on which securities of the same class or series issued by the Company are then listed, if any, if the listing of such Registrable Securities is then permitted under the rules of such exchange, or
(ii) secure designation and quotation of all the Registrable Securities on the Principal Market. The Company shall pay all fees and expenses in connection with satisfying its obligation under this Section. 

h. The Company shall cooperate with the Investor to facilitate the timely issuance of the Registrable Securities to be offered
pursuant to any Registration Statement, it being agreed that such Registrable Securities shall be issued as DWAC Shares and in such denominations or amounts as the Investor may reasonably request and registered in such names as the Investor may
request. 

  
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 i. The Company shall at all times provide a transfer agent and registrar
with respect to its Common Stock. 
 j. If reasonably requested by the Investor, the Company shall (i) as soon as
practicable after receipt of written notice from the Investor incorporate in a prospectus supplement or post-effective amendment such information as the Investor reasonably requests should be included therein relating to the sale and distribution of
Registrable Securities, including, without limitation, information with respect to the number of Registrable Securities being sold, the purchase price being paid therefor and any other terms of the offering of the Registrable Securities;
(ii) make all required filings of such prospectus supplement or post-effective amendment as soon as practicable upon notification of the matters to be incorporated in such prospectus supplement or post-effective amendment; and
(iii) supplement or make amendments to any Registration Statement or New Registration Statement. 
 k. The Company
shall use its reasonable best efforts to cause the Registrable Securities covered by any Registration Statement to be registered with or approved by such other governmental agencies or authorities in the United States as may be necessary to
consummate the disposition of such Registrable Securities. 
 l. Within one (1) Business Day after any Registration
Statement which includes the Registrable Securities is declared effective by the SEC, the Company shall deliver, and shall cause legal counsel for the Company to deliver, to the transfer agent for such Registrable Securities (with copies to the
Investor) confirmation that such Registration Statement has been declared effective by the SEC substantially in the form attached hereto as Exhibit A. Thereafter, if requested by the Buyer at any time, the Company shall require its counsel to
deliver to the Buyer a written confirmation whether or not the effectiveness of such Registration Statement has lapsed at any time for any reason (including, without limitation, the issuance of a stop order) and whether or not the Registration
Statement is current and available to the Buyer for sale of all of the Registrable Securities. 
 m. The Company shall take
all other reasonable actions necessary to expedite and facilitate disposition by the Investor of the Registrable Securities pursuant to any Registration Statement. 

4. OBLIGATIONS OF THE INVESTOR. 

a. The Company shall notify the Investor in writing of the information the Company reasonably requires from the Investor in
connection with any registration statement hereunder. The Investor shall furnish to the Company such information regarding itself, the Registrable Securities held by it and the intended method of disposition of the Registrable Securities held by it
as shall be reasonably required to effect the registration of such Registrable Securities and shall execute such documents in connection with such registration as the Company may reasonably request. 

b. The Investor agrees to cooperate with the Company as reasonably requested by the Company in connection with the preparation
and filing of any registration statement hereunder and any amendments and supplements thereof. 
 c. The Investor agrees
that, upon receipt of any notice from the Company of the happening of any event or existence of facts of the kind described in Section 3(f) or the first sentence of 3(e), the Investor will immediately discontinue disposition of Registrable
Securities pursuant to any Registration Statement(s) covering such Registrable Securities until the Investor’s receipt of the copies of a notice regarding the resolution or withdrawal of the stop order or suspension as contemplated by
Section 3(f) or the supplemented or amended prospectus as contemplated by the first sentence of 3(e). Notwithstanding anything to the contrary, the Company shall cause its transfer agent to promptly deliver


  
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shares of Common Stock without any restrictive legend in accordance with the terms of the Purchase Agreement in connection with any sale of Registrable Securities with respect to which an
Investor has entered into a contract for sale prior to the Investor’s receipt of a notice from the Company of the happening of any event of the kind described in Section 3(f) or the first sentence of Section 3(e) and for which the
Investor has not yet settled. 
 5. EXPENSES OF REGISTRATION. 

All reasonable expenses of the Company, other than sales or brokerage commissions, incurred in connection with registrations,
filings or qualifications pursuant to Sections 2 and 3, including, without limitation, all registration, listing and qualifications fees, printers and accounting fees, and fees and disbursements of counsel for the Company, shall be paid by the
Company. 
 6. INDEMNIFICATION. 

a. To the fullest extent permitted by law, the Company will, and hereby does, indemnify, hold harmless and defend the
Investor, each Person, if any, who controls the Investor, the members, the directors, officers, partners, employees, agents, representatives of the Investor and each Person, if any, who controls the Investor within the meaning of the Securities Act
or the Securities Exchange Act of 1934, as amended (the “Exchange Act”) (each, an “Indemnified Person”), against any losses, claims, damages, liabilities, judgments, fines, penalties, charges, costs, reasonable
attorneys’ fees, amounts paid in settlement (with the consent of the Company, such consent not to be unreasonably withheld) or reasonable expenses, joint or several, (collectively, “Claims”) incurred in investigating, preparing
or defending any action, claim, suit, inquiry, proceeding, investigation or appeal taken from the foregoing by or before any court or governmental, administrative or other regulatory agency, body or the SEC, whether pending or threatened, whether or
not an indemnified party is or may be a party thereto (“Indemnified Damages”), to which any of them may become subject insofar as such Claims (or actions or proceedings, whether commenced or threatened, in respect thereof) arise out
of or are based upon: (i) any untrue statement or alleged untrue statement of a material fact in the Registration Statement, any New Registration Statement or any post-effective amendment thereto or in any filing made in connection with the
qualification of the offering under the securities or other “blue sky” laws of any jurisdiction in which Registrable Securities are offered (“Blue Sky Filing”), or the omission or alleged omission to state a material fact
required to be stated therein or necessary to make the statements therein not misleading, (ii) any untrue statement or alleged untrue statement of a material fact contained in the final prospectus (as amended or supplemented, if the Company
files any amendment thereof or supplement thereto with the SEC) or the omission or alleged omission to state therein any material fact necessary to make the statements made therein, in light of the circumstances under which the statements therein
were made, not misleading, (iii) any violation or alleged violation by the Company of the Securities Act, the Exchange Act, any other law, including, without limitation, any state securities law, or any rule or regulation thereunder relating to
the offer or sale of the Registrable Securities pursuant to the Registration Statement or any New Registration Statement or (iv) any material violation by the Company of this Agreement (the matters in the foregoing clauses (i) through (iv)
being, collectively, “Violations”). The Company shall reimburse each Indemnified Person promptly as such expenses are incurred and are due and payable, for any reasonable legal fees or other reasonable expenses incurred by them in
connection with investigating or defending any such Claim. Notwithstanding anything to the contrary contained herein, the indemnification agreement contained in this Section 6(a): (i) shall not apply to a Claim by an Indemnified Person arising
out of or based upon a Violation which occurs in reliance upon and in conformity with information about the Investor furnished in writing to the Company by any Indemnified Person expressly for use in connection with the preparation of the
Registration Statement, any New Registration Statement or any such amendment thereof or supplement thereto or prospectus contained therein, if such Registration Statement, New Registration Statement or amendment thereof or supplement thereto or
prospectus contained therein was timely made available by the Company 

  
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pursuant to Section 3(c) or Section 3(e); (ii) with respect to any superseded prospectus, shall not inure to the benefit of any Indemnified Person from whom the Indemnified Person
asserting any such Claim purchased the Registrable Securities that are the subject thereof (or to the benefit of any person controlling such Indemnified Person) if the untrue statement or omission of material fact contained in the superseded
prospectus was corrected in the revised prospectus, as then amended or supplemented, if such revised prospectus was timely made available by the Company pursuant to Section 3(c) or Section 3(e), and the Indemnified Person was promptly
advised in writing not to use the incorrect prospectus prior to the use giving rise to a violation and such Indemnified Person, notwithstanding such advice, used it; (iii) shall not be available to the extent such Claim is based on a failure of
the Investor to deliver or to cause to be delivered the prospectus made available by the Company, if such prospectus was timely made available by the Company pursuant to Section 3(c) or Section 3(e); and (iv) shall not apply to
amounts paid in settlement of any Claim if such settlement is effected without the prior written consent of the Company, which consent shall not be unreasonably withheld. Such indemnity shall remain in full force and effect regardless of any
investigation made by or on behalf of the Indemnified Person and shall survive the transfer of the Registrable Securities by the Investor pursuant to Section 9. 

b. In connection with the Registration Statement or any New Registration Statement or prospectus, the Investor agrees to
indemnify, hold harmless and defend, to the same extent and in the same manner as is set forth in Section 6(a), the Company, each of its directors, each of its officers who signs the Registration Statement or any New Registration Statement,
each Person, if any, who controls the Company within the meaning of the Securities Act or the Exchange Act (collectively and together with an Indemnified Person, an “Indemnified Party”), against any Claim or Indemnified Damages to
which any of them may become subject, under the Securities Act, the Exchange Act or otherwise, insofar as such Claim or Indemnified Damages arise out of or are based upon any Violation, in each case to the extent, and only to the extent, that such
Violation occurs in reliance upon and in conformity with written information about the Investor set forth on Exhibit B attached hereto or updated from time to time in writing by the Investor and furnished to the Company by the Investor
expressly for use in connection with such Registration Statement or prospectus or any New Registration Statement or from the failure of the Investor to deliver or cause to be delivered the prospectus made available by the Company, if such prospectus
was timely made available by the Company pursuant to Section 3(c) or Section 3(e); and, subject to Section 6(d), the Investor will reimburse any legal or other expenses reasonably incurred by any Indemnified Party in connection with
investigating or defending any such Claim; provided, however, that the indemnity agreement contained in this Section 6(b) and the agreement with respect to contribution contained in Section 7 shall not apply to amounts paid in settlement
of any Claim if such settlement is effected without the prior written consent of the Investor, which consent shall not be unreasonably withheld; provided, further, however, that the Investor shall be liable under this Section 6(b) for only that
amount of a Claim or Indemnified Damages as does not exceed the net proceeds to the Investor as a result of the sale of Registrable Securities pursuant to such Registration Statement. Such indemnity shall remain in full force and effect regardless
of any investigation made by or on behalf of such Indemnified Party and shall survive the transfer of the Registrable Securities by the Investor pursuant to Section 9. 

c. Promptly after receipt by an Indemnified Person or Indemnified Party under this Section 6 of notice of the
commencement of any action or proceeding (including any governmental action or proceeding) involving a Claim, such Indemnified Person or Indemnified Party shall, if a Claim in respect thereof is to be made against any indemnifying party under this
Section 6, deliver to the indemnifying party a written notice of the commencement thereof, and the indemnifying party shall have the right to participate in, and, to the extent the indemnifying party so desires, jointly with any other
indemnifying party similarly noticed, to assume control of the defense thereof with counsel mutually satisfactory to the indemnifying party and the Indemnified Person or the Indemnified Party, as the case may be; provided, however, that an
Indemnified Person or Indemnified Party shall have the right to retain its own counsel with the fees and expenses to be paid by the indemnifying party, if, in the reasonable opinion of counsel retained by the


  
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indemnifying party, the representation by such counsel of the Indemnified Person or Indemnified Party and the indemnifying party would be inappropriate due to actual or potential differing
interests between such Indemnified Person or Indemnified Party and any other party represented by such counsel in such proceeding. The Indemnified Party or Indemnified Person shall cooperate fully with the indemnifying party in connection with any
negotiation or defense of any such action or claim by the indemnifying party and shall furnish to the indemnifying party all information reasonably available to the Indemnified Party or Indemnified Person which relates to such action or claim. The
indemnifying party shall keep the Indemnified Party or Indemnified Person fully apprised at all times as to the status of the defense or any settlement negotiations with respect thereto. No indemnifying party shall be liable for any settlement of
any action, claim or proceeding effected without its written consent, provided, however, that the indemnifying party shall not unreasonably withhold, delay or condition its consent. No indemnifying party shall, without the consent of the Indemnified
Party or Indemnified Person, consent to entry of any judgment or enter into any settlement or other compromise which does not include as an unconditional term thereof the giving by the claimant or plaintiff to such Indemnified Party or Indemnified
Person of a release from all liability in respect to such claim or litigation. Following indemnification as provided for hereunder, the indemnifying party shall be subrogated to all rights of the Indemnified Party or Indemnified Person with respect
to all third parties, firms or corporations relating to the matter for which indemnification has been made. The failure to deliver written notice to the indemnifying party within a reasonable time of the commencement of any such action shall not
relieve such indemnifying party of any liability to the Indemnified Person or Indemnified Party under this Section 6, except to the extent that the indemnifying party is prejudiced in its ability to defend such action. 

d. The indemnification required by this Section 6 shall be made by periodic payments of the amount thereof during the
course of the investigation or defense, as and when bills are received or Indemnified Damages are incurred. Any Person receiving a payment pursuant to this Section 6 that is later determined not to be entitled to such payment shall return such
payment to the person making it. 
 e. The indemnity agreements contained herein shall be in addition to (i) any cause
of action or similar right of the Indemnified Party or Indemnified Person against the indemnifying party or others, and (ii) any liabilities the indemnifying party may be subject to pursuant to applicable law. 

7. CONTRIBUTION. 

To the extent any indemnification by an indemnifying party is prohibited or limited by law, the indemnifying party agrees to
make the maximum contribution with respect to any amounts for which it would otherwise be liable under Section 6 to the fullest extent permitted by law; provided, however, that: (i) no seller of Registrable Securities guilty of fraudulent
misrepresentation (within the meaning of Section 11(f) of the Securities Act) shall be entitled to contribution from any seller of Registrable Securities who was not guilty of fraudulent misrepresentation; and (ii) contribution by any
seller of Registrable Securities shall be limited in amount to the net amount of proceeds received by such seller from the sale of such Registrable Securities. 

8. REPORTS AND DISCLOSURE UNDER THE SECURITIES ACT. 

With a view to making available to the Investor the benefits of Rule 144 promulgated under the Securities Act or any other
similar rule or regulation of the SEC that may at any time permit the Investor to sell securities of the Company to the public without registration (“Rule 144”), the Company agrees, at the Company’s sole expense, so long as the
Investor owns Registrable Securities, to use reasonable best efforts to: 

  
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 a. make and keep public information available, as those terms are understood
and defined in Rule 144; 
 b. file with the SEC in a timely manner all reports and other documents required of the Company
under the Securities Act and the Exchange Act so long as the Company remains subject to such requirements and the filing of such reports and other documents is required for the applicable provisions of Rule 144; 

c. furnish to the Investor so long as the Investor owns Registrable Securities, promptly upon request, (i) a written
statement by the Company that it has complied with the reporting and or disclosure provisions of Rule 144, the Securities Act and the Exchange Act, (ii) a copy of the most recent annual or quarterly report of the Company and such other reports
and documents so filed by the Company, and (iii) such other information as may be reasonably requested to permit the Investor to sell such securities pursuant to Rule 144 without registration; and 

d. take such additional action as is reasonably requested by the Investor to enable the Investor to sell the Registrable
Securities pursuant to Rule 144, including, without limitation, delivering all such legal opinions, consents, certificates, resolutions and instructions to the Company’s Transfer Agent as may be reasonably requested from time to time by the
Investor and otherwise fully cooperate with Investor and Investor’s broker to effect such sale of securities pursuant to Rule 144. 

The Company agrees that damages may be an inadequate remedy for any breach of the terms and provisions of this Section 8
and that Investor shall, whether or not it is pursuing any remedies at law, be entitled to seek equitable relief in the form of a preliminary or permanent injunctions, without having to post any bond or other security, upon any breach or threatened
breach of any such terms or provisions. 
 9. ASSIGNMENT OF REGISTRATION RIGHTS. 

The Company shall not assign this Agreement or any rights or obligations hereunder without the prior written consent of the
Investor; provided, however, that any transaction, whether by merger, reorganization, restructuring, consolidation, financing or otherwise, whereby the Company remains the surviving entity immediately after such transaction shall not be deemed an
assignment. The Investor may not assign its rights under this Agreement without the prior written consent of the Company, other than to an affiliate of the Investor controlled by Jonathan Cope or Josh Scheinfeld, in which case the assignee must
agree in writing to be bound by the terms and conditions of this Agreement. 
 10. AMENDMENT OF REGISTRATION RIGHTS.

 No provision of this Agreement may be amended or waived by the parties from and after the date that is one Business Day
immediately preceding the initial filing of the Registration Statement with the SEC. Subject to the immediately preceding sentence, no provision of this Agreement may be (i) amended other than by a written instrument signed by both parties
hereto or (ii) waived other than in a written instrument signed by the party against whom enforcement of such waiver is sought. Failure of any party to exercise any right or remedy under this Agreement or otherwise, or delay by a party in
exercising such right or remedy, shall not operate as a waiver thereof. 

  
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 11. MISCELLANEOUS. 

a. A Person is deemed to be a holder of Registrable Securities whenever such Person owns or is deemed to own of record such
Registrable Securities. If the Company receives conflicting instructions, notices or elections from two or more Persons with respect to the same Registrable Securities, the Company shall act upon the basis of instructions, notice or election
received from the registered owner of such Registrable Securities. 
 b. Any notices, consents, waivers or other
communications required or permitted to be given under the terms of this Agreement must be in writing and will be deemed to have been delivered: (i) upon receipt, when delivered personally; (ii) upon receipt, when sent by facsimile or
email (provided confirmation of transmission is mechanically or electronically generated and kept on file by the sending party); or (iii) one (1) Business Day after deposit with a nationally recognized overnight delivery service, in each case
properly addressed to the party to receive the same. The addresses, email addresses and facsimile numbers for such communications shall be: 

If to the Company: 
  

			
	 Plus Therapeutics, Inc.

4200 Marathon Blvd., Suite 200

	 Austin, Texas 78756

	 Telephone:
	  	 (737) 255-7194

	 E-mail:
	  	 asims@plustherapeutics.com

	 Attention:
	  	 Andrew Sims



 With a copy to (which shall not constitute notice or service of process): 

 

			
	 Hogan Lovells US LLP

609 Main Street, Suite 4200

	 Houston, TX 77002

	 Telephone:
	  	 (713) 632-1400

	 Facsimile:
	  	 (713) 632-1401

	 E-mail:
	  	 andrew.strong@hoganlovells.com

		  	 william.intner@hoganlovells.com

	 Attention:
	  	 Andrew L. Strong

		  	 William I. Intner



 If to the Investor: 

 

			
	 Lincoln Park Capital Fund, LLC

	 440 North Wells, Suite 410

	 Chicago, IL 60654

	 Telephone:
	  	 (312) 822-9300

	 Facsimile:
	  	 (312) 822-9301

	 E-mail:
	  	 jscheinfeld@lpcfunds.com/jcope@lpcfunds.com

	 Attention:
	  	 Josh Scheinfeld/Jonathan Cope



 With a copy to (which shall not constitute notice or service of process): 

 

			
	 Dorsey & Whitney LLP

	 51 West 52nd Street

	 New York, NY 10019

	 Telephone:
	  	 (212) 415-9214

	 Facsimile:
	  	 (212) 953-7201

	 E-mail:
	  	 marsico.anthony@dorsey.com




  
 10 












 
			
	 Attention:
	  	 Anthony J. Marsico



 or at such other address, email address and/or facsimile number and/or to the attention of such other
person as the recipient party has specified by written notice given to each other party three (3) Business Days prior to the effectiveness of such change. Written confirmation of receipt (A) given by the recipient of such notice, consent,
waiver or other communication, (B) mechanically or electronically generated by the sender’s facsimile machine or email account containing the time, date, recipient facsimile number or email address, as applicable, and an image of the first
page of such transmission or (C) provided by a nationally recognized overnight delivery service, shall be rebuttable evidence of personal service, receipt by facsimile or email, or receipt from a nationally recognized overnight delivery service
in accordance with clause (i), (ii) or (iii) above, respectively. 
 c. The corporate laws of the State of Delaware
shall govern all issues concerning the relative rights of the Company and its stockholders. All other questions concerning the construction, validity, enforcement and interpretation of this Agreement shall be governed by the internal laws of the
State of New York, without giving effect to any choice of law or conflict of law provision or rule (whether of the State of New York or any other jurisdictions) that would cause the application of the laws of any jurisdictions other than the State
of New York. Each party hereby irrevocably submits to the exclusive jurisdiction of and venue in the U.S. District Court for the Southern District of New York, or, if that court does not have subject matter jurisdiction, in any state court located
in the city and county of New York, for the adjudication of any dispute hereunder or in connection herewith or with any transaction contemplated hereby or discussed herein, and hereby irrevocably waives, and agrees not to assert in any suit, action
or proceeding, any claim that it is not personally subject to the jurisdiction of any such court, that such suit, action or proceeding is brought in an inconvenient forum or that the venue of such suit, action or proceeding is improper. Each party
hereby irrevocably waives personal service of process and consents to process being served in any such suit, action or proceeding by mailing a copy thereof to such party at the address for such notices to it under this Agreement and agrees that such
service shall constitute good and sufficient service of process and notice thereof. Nothing contained herein shall be deemed to limit in any way any right to serve process in any manner permitted by law. If any provision of this Agreement shall be
invalid or unenforceable in any jurisdiction, such invalidity or unenforceability shall not affect the validity or enforceability of the remainder of this Agreement in that jurisdiction or the validity or enforceability of any provision of this
Agreement in any other jurisdiction. EACH PARTY HEREBY IRREVOCABLY WAIVES ANY RIGHT IT MAY HAVE, AND AGREES NOT TO REQUEST, A JURY TRIAL FOR THE ADJUDICATION OF ANY DISPUTE HEREUNDER OR IN CONNECTION HEREWITH OR ARISING OUT OF THIS AGREEMENT OR
ANY TRANSACTION CONTEMPLATED HEREBY. 
 d. This Agreement and the Purchase Agreement constitute the entire agreement
among the parties hereto with respect to the subject matter hereof and thereof. There are no restrictions, promises, warranties or undertakings among the parties hereto, other than those set forth or referred to herein and therein. This Agreement
and the Purchase Agreement supersede all prior agreements and understandings among the parties hereto with respect to the subject matter hereof and thereof. 

e. This Agreement is intended for the benefit of the parties hereto and any permitted successors and assigns of the Company
and, except as set forth in Section 9, is not for the benefit of, nor may any provision hereof be enforced by, any other Person. 

f. The headings in this Agreement are for convenience of reference only and shall not limit or otherwise affect the meaning
hereof. 

  
 11 












 g. This Agreement may be executed in two or more identical counterparts, all
of which shall be considered one and the same agreement and shall become effective when counterparts have been signed by each party and delivered to the other party; provided that a facsimile signature or signature delivered by e-mail in a “.pdf” format data file, including any electronic signature complying with the U.S. federal ESIGN Act of 2000, e.g., www.docusign.com, www.echosign.adobe.com, etc., shall be considered due
execution and shall be binding upon the signatory thereto with the same force and effect as if the signature were an original signature. 

h. Each party shall do and perform, or cause to be done and performed, all such further acts and things, and shall execute and
deliver all such other agreements, certificates, instruments and documents, as the other party may reasonably request in order to carry out the intent and accomplish the purposes of this Agreement and the consummation of the transactions
contemplated hereby. 
 i. The language used in this Agreement will be deemed to be the language chosen by the parties to
express their mutual intent and no rules of strict construction will be applied against any party. 
 ** Signature Page Follows **


  
 12 












 IN WITNESS WHEREOF, the parties have caused this Registration Rights
Agreement to be duly executed as of day and year first above written. 
  

			
	THE COMPANY:
	
	PLUS THERAPEUTICS, INC.
		
	 By:
	 	 /s/ Andrew Sims

	 Name: Andrew Sims

	 Title: VP & Chief Financial Officer

	
	BUYER:
	
	LINCOLN PARK CAPITAL FUND, LLC
	BY: LINCOLN PARK CAPITAL, LLC
	BY: ROCKLEDGE CAPITAL CORPORATION
		
	 By:
	 	 /s/ Josh Scheinfeld

	 Name: Josh Scheinfeld

	 Title: President




  
 13 












 EXHIBIT A 

TO REGISTRATION RIGHTS AGREEMENT 

FORM OF NOTICE OF EFFECTIVENESS 

OF REGISTRATION STATEMENT 

[Date] 
 [TRANSFER AGENT]

 ___________________ 

___________________ 
 Re: Plus
Therapeutics, Inc. 
 Ladies and Gentlemen: 

We are counsel to Plus Therapeutics, Inc., a Delaware corporation (the “Company”), and have represented the
Company in connection with that certain Purchase Agreement, dated as of August 2, 2022 (the “Purchase Agreement”), entered into by and between the Company and Lincoln Park Capital Fund, LLC (the “Buyer”),
pursuant to which the Company has issued to the Buyer an aggregate of 492,698 shares of the Company’s common stock, par value $0.001 per share (the “Common Stock”), and may in the future issue to the Buyer an aggregate of
985,396 shares of Common stock and issue and sell to the Buyer shares of Common Stock having an aggregate purchase price of up to Fifty Million Dollars ($50,000,000) in accordance with the terms of the Purchase Agreement. In connection with the
transactions contemplated by the Purchase Agreement, the Company has registered with the U.S. Securities and Exchange Commission (the “SEC”) the following shares of Common Stock: 

 

	 	(1)	 492,698 shares of Common Stock that have been issued to the Buyer as an initial commitment fee (the
“Initial Commitment Shares”); and 


  

	 	(2)	 985,396 shares of Common Stock to be been issued to the Buyer as an additional commitment fee (the
“Additional Commitment Shares” and, collectively with the Initial Commitment Shares, the “Commitment Shares”); and 


  

	 	(3)	 up to [__________] shares of Common Stock to be issued to the Buyer upon purchase by the Buyer from the
Company from time to time (the “Purchase Shares”). 


 Pursuant to the Purchase Agreement, the
Company also has entered into a Registration Rights Agreement, dated as of August 2, 2022, with the Buyer (the “Registration Rights Agreement”) pursuant to which the Company agreed, among other things, to register the Purchase
Shares and the Commitment Shares under the Securities Act of 1933, as amended (the “Securities Act”). In connection with the Company’s obligations under the Purchase Agreement and the Registration Rights Agreement, on
May 19, 2022, the Company filed a Registration Statement (File No. 333-[_________]) (the “Registration Statement”) with the SEC relating to the resale of the Purchase Shares and the Commitment Shares by the Buyer. 

In connection with the foregoing, we advise you that a member of the SEC’s staff has advised us by telephone that the SEC
has entered an order declaring the Registration Statement effective under the Securities Act at [_____] [A.M./P.M.] on [__________], 202[_] and we have no knowledge, based solely on our review of the stop order notification website maintained by the
SEC, that any stop order suspending 











 
its effectiveness has been issued or that any proceedings for that purpose are pending before, or threatened by, the SEC. Accordingly, the Purchase Shares and the Commitment Shares may be resold
by the Buyer under the Securities Act pursuant to the Registration Statement and may be issued without any restrictive legend or stop transfer orders maintained against them. 

 

	
	 Very truly yours,

	
	 HOGAN LOVELLS US LLP

	
	 By: _______________________________



  

	cc:	 Lincoln Park Capital Fund, LLC 













 EXHIBIT B 

TO REGISTRATION RIGHTS AGREEMENT 

Information About The Investor Furnished To The Company By The Investor 

Expressly For Use In Connection With The Registration Statement 

Information With Respect to Lincoln Park Capital 

As of the date of the Purchase Agreement, Lincoln Park Capital Fund, LLC, beneficially owned 492,698 shares of our common stock. Josh
Scheinfeld and Jonathan Cope, the Managing Members of Lincoln Park Capital, LLC, the manager of Lincoln Park Capital Fund, LLC, are deemed to be beneficial owners of all of the shares of common stock owned by Lincoln Park Capital Fund, LLC. Messrs.
Cope and Scheinfeld have shared voting and investment power over the shares being offered under the prospectus filed with the SEC in connection with the transactions contemplated under the Purchase Agreement. Lincoln Park Capital, LLC is not a
licensed broker dealer or an affiliate of a licensed broker dealer.