Major General Thomas Savage, 3rd Earl Rivers (c. 1628 – 14 September 1694) was an English nobleman and soldier. He was the first son of John Savage, 2nd Earl Rivers by his wife Catherine, daughter of William Parker, 13th Baron Morley. His father was closely involved in the English Civil War on the Royalist side from 1641. Consequently, he lost his castles at Halton and Rocksavage and their contents were confiscated. About 1684, he married secondly Arabella, daughter of Robert Bertie, 3rd Earl of Lindsey. They had no issue.