Gordon Shouse, 35, a Foreign Service officer whose assignments included Moscow; Madras, Inida, and Washington, died of cancer Saturday at Anne Arundel General Hospital in Annapolis.

At the time of his death, Mr. Shouse was teaching a course on Soviet affairs at the U.S. Navy Academy as the State Department's representative in the political science department. He had joined the Foreign Service in 1970. His first tour of duty was in the U.S. Embassy in Moscow and his second in the U.S. consulate in Madras. In 1975, he was assigned to the bureau of Soviet affairs in the State Department. he later became chief of the Washington Finance Center, which handles financial administration for State Department facilities in North and South America. He was assigned to the Naval Academy a year ago.

Mr. Shouse was born in Indiana. He earned bachelor's and master's degrees at the University of Indiana. He was commissioned in the Navy in 1967 and studied Russian at the Defense Language Insitute. He served two years in Morocco before joining the State Department.

Survivors include his wife, the former Eloise Kelley, and a daughter, Bethany, of the home in Annapolis.

The family suggests that expressions of sympathy be in the form of contributions to the L. Gordon Shouse Memorial Fund, c/3 American Foreign Service Association, Department of State, Washington, D.C., 20521.