Francis Jacob Harper (March 5, 1800 – March 18, 1837) was a Democratic representative-elect of the U.S. House of Representatives from Pennsylvania.
Francis J. Harper was born in Frankford, Philadelphia, Pennsylvania. He was a member of the Pennsylvania House of Representatives in 1832, and served in the Pennsylvania State Senate in 1834 and 1835.
Harper was elected as a Democrat to the Twenty-fifth Congress, but died in Frankford in 1837, before the assembling of Congress. He was interred in Frankford Cemetery and reinterred in December 1848 in the Congressional Cemetery in Washington, D.C.