President Reagan will nominate a management lawyer and a career government attorney to fill two vacancies on the National Labor Relations Board, the White House announced yesterday.

The nominees are Marshall B. Babson, a partner in the New Haven, Conn., law firm of Wiggin & Dana, and Wilford W. Johansen, an NLRB regional director.

Babson's law firm was the counsel for Yale University, which was involved in a bitter labor dispute last year with white-collar clerical and technical workers over salaries, benefits and comparable pay for women.

Babson, 39, represented management in a strike at Leon's Restaurant in New Haven, Conn., where waitresses walked out on Nov. 29, 1983, in an effort to get their union recognized. The strike ended early this year with the waitresses agreeing to a monetary award for violations of labor law, but no union recognition was granted and the waitresses no longer work there.

Organized labor endorsed Johansen, 56, an NLRB attorney for 26 years. Johansen headed the agency's southern California region from 1971 to April 1984, when he became acting general counsel.

The five-member NLRB has had two vacancies since late last year with the expiration of the term of board member Don A. Zimmerman, the lone Carter administration holdover. The other vacancy occurred when Republican Howard Jenkins' term expired in August 1983. Jenkins had been the lone black on the board and it had been speculated that the administration would replace him with a black. Both new nominees, however, are white.