Born in Falmouth, Massachusetts, Bradbury graduated from Harvard University in 1789. He studied law. He was admitted to the bar and commenced practice in Portland, Maine (until 1820 a district of Massachusetts). He served as member of the Massachusetts House of Representatives 1806–1812.
Bradbury was elected as a Federalist to the Thirteenth and Fourteenth Congresses (March 4, 1813 – March 3, 1817). He was an unsuccessful candidate for renomination in 1816. He resumed the practice of law. He served as associate clerk of the Portland Court 1817–1820. He served as member of the State senate in 1822. He died in Portland, Maine, November 7, 1823 and was interred in Portland's Eastern Cemetery.
This article incorporates public domain material from websites or documents of the Biographical Directory of the United States Congress.