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                                                                     Exhibit 3.4

           CERTIFICATE OF AMENDMENT OF CERTIFICATE OF INCORPORATION


                                      OF


                              MOORE MEDICAL CORP.

It is hereby certified that:


1.  The name of the corporation (hereinafter the "corporation") is Moore Medical
    Corp.

2.  The certificate of corporation of the corporation is hereby amended by
    deleting Article Fourth thereof and by substituting in lieu thereof the new
    Article Fourth set out in Exhibit I attached hereto.

3.  The amendment to the certificate of incorporation herein certified has been
    duly adopted in accordance with the provisions of Section 242 of the General
    Corporation Law of the State of Delaware.

Signed on July 26, 2000.

                                                        /s/ Linda M. Autore
                                                       ------------------------
                                                       Linda M. Autore,
                                                       President


/s/ Joseph Greenberger
-------------------------
Joseph Greenberger,
Secretary
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     FOURTH:  The total number of shares of all classes of stock which the
Corporation shall have authority to issue is Eleven Million (11,000,000) shares
consisting of (a) Ten Million (10,000,000) shares of common stock of the par
value of One Cent ($.01) per share, and (b) One Million (1,000,000) shares of
Class C preferred stock of a par value of One Dollar ($1.00) per share.

                           Preferred Stock - Class C
                           -------------------------

     The designation and the powers, preferences and rights, and the
qualifications, limitations or restrictions of the Class C preferred stock is as
follows:

          A.   The Class C preferred stock may be issued from time to time in
               one or more series. Subject to the limitations set fourth herein
               and any limitations prescribed by law, the board of directors is
               expressly authorized, prior to issuance of any series of Class C
               preferred stock, to fix by resolution of resolutions providing
               for the issue of any series the number of shares included in such
               series and the designation, relative powers, preferences and
               rights, and the qualifications, limitations or restrictions of
               such series. Pursuant to the foregoing general authority vested
               in the board of directors, but not in limitation of the powers
               conferred on the board thereby and by the General Corporation Law
               of the State of Delaware, the board of directors is expressly
               authorized to determine with respect to each series of Class C
               preferred stock:

               (1)  the designation or designations of such series and the
          number of shares (which number from time to time may be decreased by
          the board of directors, but not below the number of such shares of
          such series then outstanding, or may be increased by the board of
          directors unless otherwise provided in creating such series)
          constituting such series;

               (2)  the rate or amount and time at which, and the preference and
          conditions under which, dividends shall be payable on shares of such
          series, the status of such dividends as cumulative or noncumulative,
          the date or dates from which dividends, if cumulative, shall
          accumulate, and the status of such shares as participating or non-
          participating after the payment of dividends as to which such shares
          are entitled to any preference;

               (3)  the rights and preferences, if any, of the holders of shares
          of such series upon the liquidation, dissolution or winding up of the
          affairs of, or upon any distribution of the assets of, the
          corporation, which amount may vary depending upon whether such
          liquidation, dissolution or winding up is voluntary or involuntary
          and, if involuntary, may vary at different dates, and the status of
          the shares of such series as participating or non-participating after
          the satisfaction of any such rights and preference;

               (4)  the full or limited voting rights, if any, to be provided
          for shares of such series, in addition to the voting rights provided
          by law;

               (5)  the times, terms and conditions, if any, upon which shares
          of such series shall be subject to redemption, including the amount
          the holders of shares of such series shall be entitled to receive upon
          redemption (which amount may vary under different conditions or at
          different redemption dates) and the amount, terms, conditions or
          manner of operation of any purchase, retirement or sinking fund to be
          provided for the shares of such series;
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               (6)  the rights, if any, of holder of shares of such series
          and/or of the corporation to convert such shares into, or to exchange
          such shares for, shares of any other class or classes or of any other
          series of the same class, the prices or rates of conversion or
          exchange, and adjustments thereto, and any other terms and conditions
          applicable to such conversion or exchange;

               (7)  the limitations, if any, applicable while such series is
          outstanding on the payment of dividends or making of distributions on,
          or the acquisition or redemption of, common stock or any other class
          or shares ranking junior, either as to dividends or upon liquidation,
          to the shares of such series;

               (8)  the conditions or restrictions, if any, upon the issue of
          any additional shares (including additional shares of such series or
          any other series or of any other class) ranking on a parity with or
          prior to the shares of such series either as to dividends or upon
          liquidation; and

               (9)  any other relative powers, preferences and participating,
          optional or other special rights, and the qualifications, limitations
          or restrictions thereof, of shares of such series;

in each case, so far as not inconsistent with the provisions of the Certificate
of Incorporation or the General Corporation Law of the State of Delaware as then
in effect. All shares of Class C preferred stock shall be identical and of equal
rank except in respect to the particulars that may be fixed by the board of
directors as provided above, and all shares of each series of Class C preferred
stock shall be identical and of equal rank except in respect to the particulars
that may be fixed by the board of directors as provided above, and all shares of
each series of Class C preferred stock shall be identical and of equal rank
except in respect to the particulars that may be fixed by the board of directors
as provided above.

          Pursuant to the authority conferred by this Article FOURTH, the
following series of Preferred Stock has been designated, such series consisting
of such number of shares, with such voting powers and with such designations,
preferences and relative, participating, optional or other special rights, and
qualifications, limitations or restrictions thereof as are stated and expressed
in the exhibit with respect to such series attached hereto as specified below
and incorporated herein by reference:


          Exhibit A     Series I Junior Participating Preferred Stock

                                 Common Stock
                                 ------------

          Except as otherwise required by law and as hereinabove provided, the
holders of common stock shall exclusively posses all voting power. Each holder
of shares of common stock shall be entitled to one vote for each share of common
stock held by him.

          The shares of common stock authorized hereunder may be issued in
classes and, except for class designation and reclassification and conversion of
the first class of common stock by resolution of the Board of Directors as
hereinafter provided, each share of common stock of whatever class shall have
the same relative rights as and be identical in all respects with each share of
common stock.
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     The first class shall consist of all shares of common stock issued at the
time of filing the Certificate of Amendment to the Certificate of Incorporation
effecting the authority to issue common stock in classes. Authority is hereby
expressly vested in the Board of Directors to adopt resolutions:

          (1)  providing for the reclassification and conversion of all such
     shares of said first class of common stock into a lesser number of shares
     of common stock of a second class having such designation as may be fixed
     by said resolutions, provided that the rate of such reduction is the same
     for each such share of said first class of common stock,

          (2)  providing for the payment to each holder of a fractional interest
     in a share of said second class common stock arising from said
     reclassification and conversion of the fair market value of such fractional
     interest, and

          (3)  authorizing the officers of the corporation to take all steps and
     to do all things deemed by them to be necessary or advisable to carry out
     said resolutions.

     Upon and after such reclassification and conversion, the corporation shall
not be authorized to issue common stock in classes, and thereafter the only
authorized shares of common stock of the corporation shall be the shares of said
second class of common stock into which the shares of said first class of common
stock have been reclassified and converted.

     Whenever there shall have been paid, or declared and set aside for payment,
to the holders of the shares of preferred stock and of any other class of stock
having preference over the common stock as to the payment of dividends the full
amount of dividends and of sinking funds or retirement payments, if any, to
which such holders are respectively entitled in preference to the common stock,
then dividends may be paid on the common stock and on any class or series of
stock entitled to participate therewith as to dividends, out of any assets
legally available for the payment of dividends, but only when and as declared by
the Board of Directors.

     In the event of any liquidation, dissolution or winding up of the
corporation, after there shall have been paid to or set aside for the holders of
the shares of preferred stock and any other class having preference over the
common stock in the event of liquidation, dissolution or winding up the full
preferential amounts to which they are respectively entitled, the holders of the
common stock, and of any class or series of stock entitled to participate
therewith, in whole or in part, as to distribution or assets, shall be entitled
to receive the remaining assets of the corporation available for distribution,
in cash or in kind.