SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

FORM 8-K

Current Report
Pursuant to Section 13 or 15(d) of
the Securities Exchange Act of 1934

May 24, 2004

(Date of earliest event reported)

PHARMACYCLICS, INC.

(Exact name of registrant as specified in its charter)

Delaware 000-26658 94-3148201

 (State or other jurisdiction of incorporation)  (Commission File Number) (I.R.S. Employer Identification Number)

995 E. Arques Avenue
Sunnyvale, California 94085-4521
(408) 774-0330

(Address of principal executive offices including zip code and registrant's telephone number, including area code)

Item 5.    Other Events.

On May 24, 2004, Pharmacyclics, inc., a Delaware corporation (the "Registrant"), issued a press release regarding the presentation of preclinical data at the Third International Meeting of the Society of Atherosclerosis imaging held May 21-23, 2004.

The foregoing description is qualified in its entirety by reference to the Registrant's Press Release dated May 24, 2004, a copy of which is attached hereto as Exhibit 99.1 and incorporated herein by reference.

Item 7.    Financial Statements and Exhibits.

(c)     Exhibits.

Exhibit No.	Description
99.1	Press Release of Pharmacyclics, Inc. dated May 24, 2004.

SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of 1934, the Registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized.

Date:   May 24, 2004

PHARMACYCLICS, INC.
By:           /s/ LEIV LEA   
Name:   Leiv Lea
Title:     Vice President, Finance & Administration
              and CFO and Secretary

INDEX TO EXHIBITS FILED WITH
THE CURRENT REPORT ON FORM 8-K DATED May 24, 2004

Exhibit	Description
99.1	Press Release of Pharmacyclics, Inc. dated May 24, 2004.