Two Superior Court judges and a District of Columbia lawyer were nominated yesterday for a seat on the D. C. Court of Appeals, according to White House and other officials.

The Superior Court judges were William C. Pryor and Paul R. Webber III. The lawyer was Lawrence Speiser, a partner in the law firm of Speiser & Kolker.

The three men were nominated for the vacancy to occur when Court of Appeals Judge J. Walter Yeagley retires April 20 after reaching the mandatory retirment age of 70. The nominations were sent to the White House yesterday by the seven-member D. C. Judicial Nomination Commission. President Carter is required to submit his nomination to replace yeagley to the Senate within 60 days.

Pryor, 46, was appointed in 1968 to what was then known as the D.C. Court of General Sessions and was reappointed to the Superior Court by President Carter last year. He was previously an assistant U.S. attorney here.

Webber, 45, was appointed to the Superior Court by President Carter in 1977. He previously had been a partner in the law firm of Dolphin, Branton, Stafford & Webber here. He had also managed an antipoverty legal services program and was a Justice Department trial attorney.

Speiser, 55, is a partner in a general practice firm and has represented a number of government employes complaining of alleged racial and sexual discrimination. He was previously staff director of a Senate subcommittee and also had been staff director of the American Civil Liberties Union's national office here.