Filed Pursuant to Rule 424(b)(3)
                                                Registration No. 333-36738

PROSPECTUS SUPPLEMENT
(To prospectus dated August 23, 2000)



                                 [ALEXION LOGO]



           $120,000,000 5-3/4% CONVERTIBLE SUBORDINATED NOTES DUE 2007
   AND 1,127,555 SHARES OF COMMON STOCK ISSUABLE UPON CONVERSION OF THE NOTES

                                -----------------

         This document supplements the prospectus dated August 23, 2000 relating
to the sale of $120,000,000 5-3/4% Convertible Subordinated Notes due 2007 and
1,127,555 shares of our common stock issuable upon conversion of the notes. We
are not selling any shares; the securityholders named in the prospectus are
offering their shares. This prospectus supplement is incorporated by reference
into the prospectus.


                OUR NASDAQ NATIONAL MARKET TRADING SYMBOL - ALXN


                     CLOSING PRICE (MARCH 19, 2001): $22.75


         This supplement replaces section entitled "Selling Securityholders" on
page 16 with the information described on the following page.

                                -----------------

         THE SECURITIES AND EXCHANGE COMMISSION AND STATE SECURITIES REGULATORS
HAVE NOT APPROVED OR DISAPPROVED THESE SECURITIES, OR DETERMINED IF THIS
PROSPECTUS IS TRUTHFUL OR COMPLETE. ANY REPRESENTATION TO THE CONTRARY IS A
CRIMINAL OFFENSE.


                              --------------------

            THE DATE OF THIS PROSPECTUS SUPPLEMENT IS MARCH 20, 2001.






                             SELLING SECURITYHOLDERS

         We originally sold the notes to the initial purchasers on March 3,
2000. The initial purchasers have advised us that they resold the notes in
transactions exempt from the registration requirements of the Securities Act of
1933 to "qualified institutional buyers" (as defined in Rule 144A of the
Securities Act). These subsequent purchasers, or their transferees, pledgees,
donees or successors, may from time to time offer and sell any of the notes
and/or shares of our common stock issuable upon conversion of the notes pursuant
to this prospectus.

         We are registering these notes and shares of common stock pursuant to a
registration rights agreement, dated March 3, 2000, between us and the initial
purchasers. Under the agreement, we filed the registration statement of which
this prospectus is part. We must also keep the registration statement effective
until March 8, 2002 or the earlier of (a) the sale pursuant to the registration
statement of all the securities registered, (b) the date on which all the
securities (x) held by the persons who are not our affiliates may sell such
securities under Rule 144(k) or (y) cease to be outstanding or (c) a subsequent
shelf registration statement covering all of these securities has been declared
effective under the Securities Act.

         The following table contains information as of July 25, 2000, unless
otherwise noted, with respect to the selling securityholders and the principal
amount of notes and the underlying common stock beneficially owned by each
selling securityholder that may be offered using this prospectus.




                                                 PRINCIPAL
                                                 AMOUNT OF
                                                   NOTES       PERCENTAGE OF           NUMBER OF         PERCENTAGE TO
                 NAME OF                        BENEFICIALLY       NOTES            SHARES THAT MAY      COMMON STOCK
          SELLING SECURITYHOLDER                   OWNED        OUTSTANDING           BE SOLD (1)       OUTSTANDING (2)
          ----------------------                ------------   ------------         ---------------     ---------------
                                                                                                    
Argent ClassicConvertible                        $ 8,300,000       6.9%                      77,989             *
   Arbitrage Fund (Bermuda) L.P.

BNP Arbitrage SNC                                $ 7,500,000       6.3%                      70,472             *

BNP Cooper Neff Convertible                      $   500,000       *                          4,698             *
   Strategies Fund, L.P.

Calamos Market Neutral Fund                      $ 1,280,000       1.1%                      12,027             *
   Calamos Investment Trust

CIBC World Markets                               $ 1,500,000       1.3%                      14,094             *

Consulting Group Capital Market                  $   340,000       *                          3,194             *
   Funds

Credit Suisse First Boston Corporation           $14,500,000       12.1%                    136,246             *

D. E. Shaw Investments, L.P.                     $   800,000       *                          7,517             *

D. E. Shaw Valence L.P.                          $ 1,200,000       1.0%                      11,275             *

Deutsche Bank Securities Inc.                    $ 9,950,000       8.3%                      93,493             *





Elf Aquitaine                                    $   250,000       *                          2,349             *

Fir Tree Institutional Value Fund, L.P.          $ 4,569,025       3.8%                      42,931             *

Fir Tree Value Fund, L.P.                        $12,212,025       10.2%                    114,747             *

Fir Tree Partners, LDC                           $ 1,243,950       1.0%                      11,688             *

GLG Partners LP (9)                              $ 5,000,000       4.2%                      46,981             *

Highbridge International LLC                     $ 6,000,000       5.0%                      56,377             *

JMG Capital Partners, LP                         $ 2,937,000       2.4%                      27,596             *

JMG Triton Offshore Fund, Ltd.                   $ 2,938,000       2.4%                      27,606             *

J.P. Morgan Securities, Inc.                     $   280,000       *                          2,630             *

Lord Abbette Bond Debenture Fund                 $ 3,750,000       3.1%                      35,236             *

McMahon Securities Co. L.P. (7)                  $   100,000       *                            939             *

Museum of Fine Arts, Boston (6)                  $    27,000       *                            253             *

Oxford Lord Abbette & Co.                        $ 1,000,000       *                          9,396             *

Parker-Hannifin Corporation (6)                  $    47,000       *                            441             *

Putnam Asset Allocations
   Funds - Balanced Portfolio (8)                $   178,000       *                          1,672             *

Putnam Asset Allocations
   Funds - Conservative Portfolio (8)            $   118,000       *                          1,108             *

Putnam Balanced Retirement Fund (8)              $    55,000       *                            516             *

Putnam Convertible
   Income-Growth Trust (8)                       $   972,000       *                          9,133             *

Putnam Convertible Opportunities
   and Income Trust (8)                          $    73,000       *                            685             *

R2 Investments, LCD                              $18,600,000       15.5%                    174,770             1.2%

Robertson Stephens                               $ 5,000,000       4.2%                      46,981             *

University of Rochester (6)                      $    26,000       *                            244             *

Tribeca Investments, LLC                         $ 5,000,000       4.2%                      46,981             *





ZCM/HFR Index Management, L.L.C                  $   120,000       *                          1,127             *

Any other holder of Notes or future              $ 3,634,000       3.0%                      34,146             *
    transferee, pledgee, donee or
    successor of any holder (3)(4)


--------------------------------------------------------------------------------
* Less than 1%.

(1) Assumes conversion of all of the holder's notes at a conversion price of
$106.425 per share of common stock. However, this conversion price will be
subject to adjustment as described under "Description of Notes --- Conversion of
Notes." As a result, the amount of common stock issuable upon conversion of the
notes may increase or decrease in the future.

(2) Calculated based on Rule 13d-3(d)(1)(i) of the Exchange Act using 18,047,193
shares of common stock outstanding as of March 13, 2001. In calculating this
amount, we treated as outstanding the number of shares of common stock issuable
upon conversion of all of that particular holder's notes. However, we did not
assume the conversion of any other holder's notes.

(3) Information about other selling securityholders will be set forth in
prospectus supplements, if required.

(4) Assumes that any other holders of notes, or any future transferees,
pledgees, donees or successors of or from any such other holders of notes, do
not beneficially own any common stock other than the common stock issuable upon
conversion of the notes at the initial conversion rate.

(5) Information as of November 14, 2000.

(6) Information as of November 8, 2000.

(7) Information as of March 14, 2001.

(8) Information as of March 15, 2001.

(9) Information as of March 16, 2001


         We prepared this table based on the information supplied to us by the
selling securityholders named in the table.

         The selling securityholders listed in the above table may have sold or
transferred, in transactions exempt from the registration requirements of the
Securities Act, some or all of their notes since the date on which the
information in the above table is presented. Information about the selling
securityholders may change over time. Any changed information will be set forth
in prospectus supplements.

         Because the selling securityholders may offer all or some of the notes
and shares of common stock issued upon conversion of the notes, and because
there are currently no agreements, arrangements or understandings with respect
to the sale of any of the notes or shares of common stock that will be held by
the selling securityholders after completion of this offering, no estimate can
be given as to the principal amount of notes or shares of common stock that will
be held by the selling securityholders after completion of this offering. See
"Plan of Distribution."