Richard Harrison (1646–1726) was an English politician.
He was the eldest son of Sir John Harrison of Balls Park, Member of Parliament for Lancaster, by his second wife Mary Shotbolt; William Harrison was his half-brother. He was educated at Peterhouse, Cambridge, where he matriculated in 1663. The same year he was admitted to the Middle Temple.
Harrison was elected Member of Parliament in 1669, and again in 1679. Thought to favour the court in the Exclusion Crisis, he did not support James II on the throne. After the Glorious Revolution he was a non-juror.
Harrison married in 1668 Audrey, daughter of George Villiers, 4th Viscount Grandison; they had eight sons and six daughters.