President Carter's campaign officials say they are actively considering a request that he participate in a proposed televised campaign debate that would be devoted exclusively to issues affecting black Americans.

The special debate has been proposed by Black Enterprise magazine and the Joint Center for Political Studies, a Washington-based research organization on black electoral issues. It would be in addition to three general-issue televised debates already planned by the League of Women Voters.

Letters sent to Carter and GOP nominee Ronald Reagan earlier this month by the two groups said the purpose of the separate debate would be, to reassure blacks of the candidates' interest in their concerns.

Topics on which the candidates might be questioned include the resurgence of the Ku Klux Klan, urban unrest and the high rate of unemployment among blacks.

In the League of Women Voters' debates four years ago, issues of special concern to blacks were rarely brought up as candidates were questioned on a variety of other domestic and international issues, acccording to Eddie W. W. William, president of the joint center.

Malcolm Dade, a deputy campaign manager for Carter, said after the Democratic National Convention in New York last week that the invitation to participate was under "active consideration" and that a response would be made soon.

An aide in the Reagan campaign has said he would be unable to participate. But Republican National Committee Chairman Bill Brock has promised to intercede to get that decision overturned, Williams said.

Independent presidential candidate John B. Anderson has expressed strong interest in being a part of any such debate. Williams said he would be included if the league decides to allow him to participate in its debates.