Exhibit 10.2

NOTICE OF STOCK OPTION GRANT

(Non-Employee Director Stock Option)

To carry out the purposes of the Lexicon Pharmaceuticals, Inc. 2017 Non-Employee
Directors’ Equity Incentive Plan (the “Plan”), by providing ______________
(“Director”) the opportunity to purchase shares of Common Stock, par value
$0.001 per share (“Stock”), of LEXICON PHARMACEUTICALS, INC. (the “Company”) in
accordance with the Plan, the Company hereby provides notice to Director as
follows:

1.    Grant of Option. Effective as of ______________ (the “Grant Date”), the
Company has granted Director the right and option (the “Option”) to purchase all
or any part of an aggregate of ________ shares of Stock, on the terms and
conditions set forth in this Notice and in the Plan. The Option shall be treated
as a non-statutory stock option and not as an “incentive stock option” within
the meaning of section 422(b) of the Internal Revenue Code of 1986, as amended
(the “Code”).

1.    Exercise Price. The price at which Director may purchase Stock upon
exercise of the Option (the “Exercise Price”) shall be $______ per share, which
has been determined to be the Fair Market Value (as defined in the Plan) of the
Stock on the Grant Date. The Exercise Price is subject to adjustment under
certain circumstances as provided in the Plan.

2.    Term. The Option shall expire on the 10th anniversary of the Grant Date,
subject to earlier termination under the circumstances specified in Section 8 of
this Notice.

3.    Exercisability and Vesting. Subject to the terms and conditions set forth
in this Notice and the Plan, the Option may be exercised, in whole or in part,
at any time and from time to time during the term of the Option, to purchase the
number of shares of Stock that have vested and become exercisable in accordance
with this Notice. The Option shall vest and become exercisable with respect to
[1/12 of the total number of shares of Stock subject to the Option each month
after grant for 12 months after the Grant Date] [one third of the total number
of shares of Stock subject to the Option on each of the first three
anniversaries of the Grant Date]; provided that, such vesting schedule may be
accelerated upon a change in control of the Company pursuant to the provisions
of the Plan and; provided further, that, upon the termination of Director’s
Continuous Service (as defined in the Plan), the Option shall cease to vest and
shall terminate with respect to all shares of Stock that have not vested and
become exercisable prior to such time.

4.    Procedures for Exercise. Subject to the terms and conditions set forth in
this Notice and the Plan, the Option may be exercised by delivery to the Company
at its principal executive office of (i) written notice addressed to the
Secretary of the Company specifying the number of shares of Stock as to which
the Option is being exercised and (ii) payment in full of the Exercise Price for
such shares. The Exercise Price shall be paid in cash or in such other manner as
may be authorized by the administrator of the Plan in accordance with the terms
of the Plan. If the offering, sale and delivery of the shares of Stock issuable
upon exercise of the Option have not been registered under the Securities Act of
1933 (the “Securities Act”), the Company may require Director, as a condition to
Director’s exercise of the Option, to enter into a stock purchase agreement
containing such representations and warranties as the Company may deem necessary
to permit the issuance of the Stock purchased upon exercise of the Option in
compliance with the Securities Act and applicable state securities laws.

5.    No Rights of Ownership in Stock Before Issuance. No person shall be
entitled to the rights and privileges of stock ownership with respect to any
shares of Stock issuable upon exercise of the Option until such shares have been
issued in accordance with the terms of this Notice and the Plan.

6.    Non-Transferability. The Option may not be transferred by Director
otherwise than (i) by will or the laws of descent and distribution, by
instrument to an inter vivos or testamentary trust or by gift to a member of
Director’s immediate family, in each case in accordance with the terms of the
Plan, or (ii) pursuant to a qualified domestic relations order (as defined in
Title I of the Employee Retirement Income Security Act of 1974, as amended, or
the rules thereunder).

7.    Termination of Option. If Director’s Continuous Service is terminated for
any reason other than the Disability (as defined in the Plan) or death of
Director, the Option shall remain exercisable, with respect to the shares of
Stock that had vested under the terms of this Notice before the date of such
termination, for a period of six months after the date of such termination
(subject to extension as provided in the Plan, but in no event later than the
expiration date of the Option specified in Section 3 of this Notice), following
which six-month period this Notice and Director’s right to exercise the Option
shall terminate. If Director’s Continuous Service is terminated because of
Disability of Director, the Option shall remain exercisable, with respect to the
shares of Stock that had vested under the terms of this Notice before the date
of such termination, for a period of 12 months after the date of such
termination (but in no event later than the expiration date of the Option
specified in Section 3 of this Notice), following which 12-month period this
Notice and Director’s right to exercise the Option shall terminate. If (i)
Director’s Continuous Service is terminated because of death of Director or (ii)
Director dies within the three-month period after the termination of Director’s
Continuous Service for a reason other than death, the Option shall remain
exercisable, with respect to the shares of Stock that had vested under the terms
of this Notice before the date of death, for a period of 18 months after the
date of such termination (but in no event later than the expiration date of the
Option specified in Section 3 of this Notice), following which 18-month period
this Notice and the right to exercise the Option shall terminate.
Notwithstanding the foregoing, if the Director is removed from the Company’s
Board of Directors for cause in accordance with the Company’s Bylaws, this
Notice and Director’s right to exercise any portion of the Option, whether or
not vested, shall terminate at the commencement of business on the date of such
removal.

8.    Withholding of Tax. To the extent that the Company is required under
applicable federal or state income tax laws to withhold any amount on account of
any present or future tax imposed as a result of the exercise of the Option,
Director shall pay the Company, at the time of such exercise, funds in an amount
sufficient to permit the Company to satisfy such withholding obligations in
full. If Director fails to pay such amount, the Company shall be authorized (i)
to withhold from any cash remuneration then or thereafter payable to Director
any tax required to be withheld or (ii) to refuse to issue or transfer any
shares otherwise required to be issued pursuant to the terms of this Notice.

9.    Status of Stock. (a) Unless the offering, sale and delivery of the shares
of Stock issuable upon exercise of the Option have been registered under the
Securities Act, Director agrees that any shares of Stock purchased upon exercise
of the Option shall be acquired for investment without a view to distribution,
within the meaning of the Securities Act, and shall not be sold, transferred,
assigned, pledged or hypothecated in the absence of an effective registration
statement under the Securities Act and applicable state securities laws or an
applicable exemption from the registration requirements of the Act and any
applicable state securities laws. Director further agrees that the shares of
Stock which Director may acquire by exercising the Option will not be sold or
disposed of in any manner which would constitute a violation of any other
applicable federal or state securities laws. In addition, Director agrees (i)
that the certificates representing the shares of Stock issued under this Notice
may bear such legend or legends as the administrator of the Plan deems
appropriate in order to assure compliance with applicable securities laws, and
(ii) that the Company may give instruction to its transfer agent, if any, to
stop transfer of the shares of Stock issued under this Notice on the stock
transfer records of the Company, if such proposed transfer would, in the opinion
of counsel to the Company, constitute a violation of any applicable securities
law or any such agreements.

(b)    Director further agrees that the Option granted herein shall be subject
to the requirement that if at any time the administrator of the Plan shall
determine, in its discretion, that the listing, registration or qualification of
the shares of Stock subject to such Option upon any securities exchange or
market or under any state or federal law, or the consent or approval of any
governmental regulatory body, is necessary or desirable as a condition of, or in
connection with, the purchase or issuance of shares of Stock hereunder, such
Option may not be exercised in whole or in part unless such listing,
registration, qualification, consent or approval shall have been effected or
obtained free of any conditions not reasonably acceptable to the administrator
of the Plan.

10.    2017 Non-Employee Directors’ Equity Incentive Plan. The Plan, a copy of
which is available for inspection by Director or other persons entitled to
exercise this Option at the Company’s principal executive office during business
hours, is incorporated by reference in this Notice. The Option is subject to,
and the Company and Director agree to be bound by, all of the terms and
conditions of the Plan. In the event of a conflict between this Notice and the
Plan, the terms of the Plan shall control. Subject to the terms of the Plan, the
administrator of the Plan shall have authority to construe the terms of this
Notice, and the determinations of the administrator of the Plan shall be final
and binding on Director and the Company. This Notice shall constitute a Stock
Award Agreement (as defined in the Plan) evidencing the terms and conditions of
the Option grant for all purposes under the Plan.

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