Mayor Marion Barry yesterday nominated four persons, two of them political allies, as members of a board to oversee the yet-to-be-built D.C. Convention Center.

The board members will be paid $125 for each day they perform "official duties," but not more than $10,000 a year, mayoral spokesman Kwame Holman said.

The two political allies, both of whom supported Barry's mayoral campaign, are Marie C. Barksdale, management consultant, and Julia M. Walsh, who runs her own investment firm.

Barksdale, who worked on Barry's transition team, was nominated to a two-year term. Walsh, who raised money for Barry's campaign, was named to a one-year term.

Nominated to a three-year term as chairman of the convention center board was Edward A. Singletary, controller of the C&P Telephone Co. here. Barry also nominated John A. Boardman, business agent of the Hotel and Restaurant Employees Union Local 25, to a two-year term as a regular board member.

Holman said Barry's nomination to fill the fifth and final seat on the board would be disclosed within several days. He said that after the staggered start, all seats on the board would be for a term of three years.

All the nominees must be approved by the City Council.

The convention center board will have full responsibility for management, budget and operation of the controversial center. It is planned for a 9.7-acre site bounded by Ninth, 11th, and H streets and New York Avenue NW. Official groundbreaking ceremonies are planned for April 23 but excavation at the site has begun.

The board will have as one of its first tasks the selection of a general manager for the center. The general manager will handle day-to-day operations of the center, and will sit as an ex-officio member of the board, Holman said. o

Barry called the convention center the "single most important economic development project in the city." The center is scheduled to be opened in April 1982.

But the $98.7 million center -- focal point of a planned $400 million complex of hotels and office buildings in the area -- came under attack last year from residents who contended the center would be a money loser.

The opponents tried unusuccessfully to force a referendum that could have blocked construction.

Knowledgeable political observers said the nominations of Barksdale and Walsh were logical outgrowths of the work they have done for Barry in the past.

Sources speculated that Singletary and Boardman were nominated because of their ties to the business and labor communities.