President Carter yesterday nominated Joyce Hens Green, a D.C. Superior Court judge since 1968, to be a United States District Court judge for the District of Columbia.

If confirmed by the Senate, Green would fill the vacancy created when U.S District Court Judge Howard Corcoran assumed senior status a year ago. Green, 50, would be the second woman to be a U.S. District judge here. The other is U.S. District Court Judge June L. Green, who shared law office space with Joyce Green prior to their appointments to their respective courts in 1968 by President Johnson. She would also join U.S. District Court Judge Harold H. Greene.

In addition to filling the remaining vacancy on the U.S. District Court here, President Carter also has two appointments to make to the U.S. Circuit Court of Appeals for the District of Columbia.These two positions were created by Congress in legislation expanding the court from none to 11 judges as well as creating 150 other new judgeships across the country.

The D.C. Judicial Nominating Commission has recommended nine persons to Carter, who is expected to make his choice from the list after it is screened by the Justice Department, the FBI and the American Bar Association.

The list of candidates:

Harry T. Edwards, 38, a professor at the University of Michigan Law School and a specialist in labor arbitration.

John P. Fullam, 57, a U.S. District Court judge in Philadelphia who presided over the Penn Central bankruptcy case.

Ruth B. Ginsburg, 45, a law professor at Columbia University, and a general counsel of the American Civil Liberties Union.

Abraham S. Goldstein, 53, Yale University provost and former dean of the Yale Law School.

Hans A. Linde, 54, associate justice of the Oregon Supreme Court, former University of Oregon law professor specializing in constitutional and administrative law.

Charles F. Luce, 61, chairman and chief executive officer of New York Consolidated Edison.

Julia C. Mack, 58 associate judge of the D.C. Court of Appeals.

Abner J. Mikva, 53, Democratic congressman from Illinois.

Patricia M. Wald, 50, assistant attorney general for legislative affairs.

All of those recommended by the commission have said they would accept appointment, according to a reliable source. Attorney General Griffin Bell has said that since the U.S. Court of Appeals for the District of Columbia handles cases of national significance, candidates will be considered from across the country.

Five candidates have been selected from which Carter can fill a new seat on the 4th U.S. Court of Appeals in Richmond, which considers cases from Maryland, South Carolina, and parts of Virginia, West Virginia and North Carolina.

The candidates are Judge Johm R. Hargrove of the Supreme Bench of Baltimore City, U.S. District Judges Alexander Harvey II, Frank A. Kaufman and Herbert F. Murray, all of Baltimore, and Francis D. Murnaghan Jr., a Baltimore lawyer.