Terence (Terry) James Cavanagh (born July 19, 1926) is a Canadian politician and former mayor of Edmonton, Alberta.

Born in Edmonton, he was first elected in 1971 as a councilor serving until 1975. He was mayor from 1975 until 1977 and then was a councilor again from 1983 to 1988. From 1988 until 1989 he was mayor for a second term. In 1992 he was elected councillor and is currently represents Ward 6.

He was the first Edmonton born mayor.

|- style="text-align: center;" | width="30%" |Preceded by:
Laurence G. Decore | width="40%" style="text-align: center;" |Mayor of Edmonton
1988-1989 | width="30%" |Succeeded by:
Janice Rhea Reimer