Robert Kennon Hargrove (1829–1905) was an American bishop of the Methodist Episcopal Church, South, elected in 1882.

Robert Kennon Hargrove was born on September 17, 1829, in Pickens County, Alabama.

He was President of the Centenary Institute in Summerfield, Alabama, 1865–67, and of Tennessee Female College in the 1870s.

He originated the Women's Department of Church Extension (for the purpose of securing parsonages in the M.E.

He died on August 4, 1905, in Nashville, Tennessee, and was buried there in Mount Olivet Cemetery.