President Carter yesterday nominated Peter H. Wolf, a former member of the D.C. Bar's board of governors, to a seat on the D.C. Superior Court.

Wolf's nomination is subject to confirmation by the Senate. A vacancy on the court occured last June with the resignation of former chief Judge Harold H. Greene, who is now a judge of the U.S. District Court here.

Wolf, 43, a graduate of Harvard Law School, is a former assistant D.C. corporation counsel and was a staff attorney to President Johnson's Commission on Crime in the District of Columbia in 1965 and 1966.

For three years, Wolf was a research attorney with the Institute for Criminal Law and procedure at the Georgetown University Law Center. In 1970, he opened a private law practice in Washington, and now is a partner in the firm of Wolf and Kovner.

Wolf served as a member of the D.C. Bar's board of governors from 1974 to 1977. During that time, he chaired a committee that studied the bar's enforcement of its professional standards in cases in which lawyers were appointed by the court to represent indigent defendants.

As a result of the committee's study, the bar instituted procedures to investigate defendants complaints that their court-appointed lawyers are ineffective and should be replaced.

Wolf also is a former chairman of the Young Lawyers Section of the Bar Association of the District of Columbia.

Judges of the Superior Court, who must be residents of the District of Columbia, are appointed toa 15-year term and are paid $49,050 annually. The 44-member bench hears a variety of cases from small claims and lord-tenant issues to serious criminal cases and major civil disputes.