Mayor Marion Barry yesterday nominated two persons with ties to his mayoral campaign to membership on the politically sensitive D.C. Board of Elections and Ethics.

Chosen for the posts were Virginia Moye, a retired federal worker who was office manager of Barry's campaign headquarters last year, and Albert J. Beveridge III, a lawyer who successfully represented Barry in a lawsuit last year that permitted him to keep his City Council seat while running for mayor.

If confirmed by the council, Moye would fill the vacancy created when Shari B. Kharasch resigned from the board last fall. Beveridge would replace Jeanus B. Parks, whose future resignation was disclosed yesterday by the Mayor's office.

Confirmation of the new nominees would give Barry appointees a two-member majority on the three-member bipartisan board, which oversees city elections and is responsible for adoption and enforcement of ethics rules for city officials. It is responsible for investigating charges of conflicts of interest.

Both Moye and Beveridge are Democrats. The lone holdover on the elections board would be James L. Denson, a Republican. Members are not salaries, but are paid a daily allowance when conducting board duties.

The board chairman will be designated by the mayor after the seats are filled. Kharasch had served as chairman, and Parks currently is serving as acting chairman.

Moye, who lives in Ward 5 in Northeast Washington, is retired loan implementation specialist for the Agency for International Development. She has lived in the city for 43 years.

She was a volunteer coordinator for the Carter presidential campaign in the city in 1976. Last year she was office manager and bookkeeper for the Barry mayoral campaign. She also was office manager for John L. Ray's recent successful election campaign to keep the City Council seat to which he was appointed last January, replacing Barry. Ray ran with Barry's strong support, using many of the mayor's election workers in his campaign.

Responding to an inquiry, Florence Tate, the mayor's press secretary, said Moye's appointment was in no way a political plum for a supporter.

"She made it clear she did not want any appointment from Mayor Barry," Tate said. "Marion had to arm-twist to get her to take it. She will tell anybody what she thinks about anything. That's why he felt safe in appointing her."

Beveridge, the grandson and namesake of a Progressive Republican senator from Indiana who served from 1923 to 1927, is a Princeton graduate and a Harvard-trained lawyer. He lives in Ward 3 in Northwest Washington.

As a partner in the firm of Beveridge, Fairbanks and Diamond, he represented Barry last year in successfully challenging a City Charter provision that would have forced the mayor-to-be to resign from the council upon becoming a candidate for the higher offie.

U.S. District Judge Gerhard A. Gesell ruled that Barry could keep his council seat while running for mayor.

During the campaign, Beveridge played a backstage role.

Moye was nominated for a term ending in December 1981. Beveridge was nominated to complete Parks' term, which ends next December, and for a full three-year term ending in December 1982.

No reason was given for Parks' resignation, which is effective June 30. Tate said Parks, an appointee of former mayor Walter E. Washington, had told Barry he wanted to step down from the post because of the press of other activities. A former head of the United Planning Organization, he is a Howard University law professor.

Kharasch, the former elections board chairman, submitted her resignation to then-mayor Washington last Oct. 2 following widespread criticism of her-and the board's-conduct of the Sept. 12 primary election. The mayoral nomination of Barry was left in doubt for 12 days after the election.