James P. Dunleavy was an American politician and jurist from Maine. Dunleavy, a Democrat, served one term in the Maine House of Representatives (1973-1974). He represented Presque Isle, Maine. After leaving the Legislature, Dunleavy was elected as Judge Probate for Aroostook County. Re-elected in 1980, he won the Democratic Party's nomination for Maine's 2nd congressional district in 1982. He lost to Republican incumbent Olympia Snowe.