Sir Richard Pryse, 1st Baronet (died 1651) was a Welsh politician who sat in the House of Commons from 1646 to 1648.
Pryse was the son of Sir John Pryse of Gogerddan and Abersychan and his wife Mary Bromley, daughter of Sir Henry Bromley of Shradon Castle, Shropshire. He was created baronet of Gogerddan on 9 August 1641.
In 1639 he was appointed High Sheriff of Cardiganshire and in 1646 elected Member of Parliament for Cardiganshire in the Short Parliament. He was excluded in 1648 under Pride's Purge.
Pryse married firstly Hester Myddelton daughter of Sir Hugh Myddelton, 1st Baronet and secondly Mary van Dyck, widow of Anthony van Dyck. He was succeeded successively by his sons of his first marriage Richard and Thomas.