Joseph Webb, a trustee of the University of the District of Columbia, said he will ask the 15-member board to vote this week to place UDC President Robert L. Green on administrative leave and to require school officials to release all of the university's financial records to the D.C. auditor.

Webb last week became the only trustee to speak out about Green, saying the president should resign if he cannot disprove allegations by D.C. Auditor Otis H. Troupe that he has misspent thousands of dollars of university funds on travel, consultants and personal items since taking office in September 1983.

"Is this administrative leave not a standard procedure when so many serious concerns are raised by a credible city official who, according to law, has the responsibility for investigating public agencies?" Webb asked in a letter sent to news organizations during the weekend.

In addition, seven of UDC's eight deans sent a letter to Green last week that one top UDC official said reflected "a lack of confidence" in his handling of the controversy.

Green, 51, spent time last week preparing a response to Troupe's findings and to reports in The Washington Post describing how Green has charged the university for trips he took to a wedding and two funerals and expenditures of $80,000 on catering and nearly $18,000 on household items.

According to knowledgeable sources, Coopers & Lybrand, an accounting firm hired by the board to review Troupe's report, has concluded that the auditor incorrectly asserted that Green had double-billed the university for a three-day trip to Detroit in November 1983 and a two-day trip to Boston in May 1984. Sources said that a July 19 letter from the accounting firm to university officials says that Green merely upgraded those air tickets to first-class. In addition, the sources said, Coopers & Lybrand has concluded that Green and his wife, Lettie, did not intentionally use the university's sales-tax exemption for purchases of personal items.

Troupe, in findings released earlier this month, said the Greens had used the exemption to avoid paying sales tax on nearly $2,500 of purchases at Saks Fifth Avenue, Neiman-Marcus and Garfinckel's department stores. The accounting firm, according to sources, concluded that Green's wife thought she was allowed to use the exemption because she was buying clothes she planned to wear to university functions.

Coopers & Lybrand has not completed a more comprehensive review of Green's expenditures, sources said.

The trustees, who are tentatively scheduled to meet tomorrow night, were supposed to receive during the weekend Green's written response to accounts of his expenditures.

Webb, one of three alumni trustees not appointed by the mayor, said yesterday that he wants Green to go on administrative leave because he has lost faith in him. He said Green "should win an Academy Award" for statements he has made to board members in private sessions.

Webb said he doubts the claims, which he said Green made during executive sessions of the board this month, that Green received 35 death threats as a result of news reports and that a Washington Post reporter called him two weeks ago to apologize for recent stories.

"I can't say Bob Green is lying, but I can say I don't believe him," Webb said.

Gilbert Maddox, a spokesman for Green, said yesterday that board members are free to make any statements they want, but that on the matter of administrative leave, UDC officials do not believe Webb has the support of the rest of the board.

Maddox said death threats against Green have increased after each news report about his expenditures. He denied that Green ever claimed to have received an apology from a Post reporter.

Webb also called on the university to release information being withheld from news organizations and the D.C. auditor. Although UDC has a freedom of information officer to handle media requests for UDC records, all information released to the press is now being reviewed first by Herbert O. Reid Sr., the mayor's special counsel and a member of the UDC board.