Retired Army Brig. Gen. Terance J. Tully, 78, an officer in the Signal Corps, died Monday at Sibley Memorial Hospital after a heart attack.

At his retirement in 1954, he was commanding general of the Signal Corps replacement training center at Camp Gordon, Ga.

Gen. Tully then became manager of administrative controls and systems of RCA in Cherry Hill, N.J. After a second retirement in 1965, he came to Washington.

Born in Old Point Comfort, Va., he graduated from the Military Academy at West Point in 1920. He served for 14 years in the infantry at posts in this country and in the Phillipines.

In World War II, as a signal officer, he participated in the North Africa landings and the Tunisian campaign. He also was deputy chief signal officer of the Allied forces in the Mediterranean

After the war, Gen. Tully commanded the Signal Corps training center at Camp Crowder, Mo. He later was in charge of the Alaska communications system, and from 1949 to 1953 helped established the communications service of the Supreme Headquarters Allied Forces Europe of NATO.

He is survived by his wife, Josephine McLachlen Tully of the home in Washington; two daughters, Patricia Alford, of Washington, and Margot J. Tully, of Far HIlls, N.J., a stepson, Archibald M. Lachlen, of Washington, four grandchildren and two step-grandchildren.