James Anthony Burke (March 30, 1910 – October 13, 1983) was a United States Representative from Massachusetts from 1959 to 1979. He was born in Boston, Massachusetts. He was educated in the Boston public schools and Lincoln Preparatory School and attended Suffolk University. Burke was a real estate salesman, and served in appointive positions including registrar of vital statistics for the city of Boston. He was a Democrat, and served in the Massachusetts House of Representatives from 1937 to 1939.