Elijah Conner Phister (October 8, 1822 – May 16, 1887) was a United States representative from Kentucky.

He then studied law in Philadelphia under John Sergeant and at Payne & Waller in Maysville.

He was a circuit judge 1856–1862 and a member of the Kentucky House of Representatives 1867–1871.

He was appointed one of the commissioners to revise the Kentucky statutes in 1872 but declined.

Phister died in Maysville, Kentucky in 1887 and was buried in the City Cemetery.