Adam Baynes (bapt. 1622; died 1671) was a Parliamentarian army officer and MP for Leeds during the Commonwealth, and as such the first MP for the city. He was later also MP for Appleby. He enjoyed the patronage of John Lambert, who he served under during the First English Civil War, which helped his parliamentary career, but also later led to his downfall when the Royalists regained power in 1660.