William Richard Chetwynd (c. 1731 – February 1765) was an English aristocrat and politician.
He was elected as Member of Parliament for Stafford in 1754 and held the seat until his death in 1765.
His father had served as MP for the same seat 1738–1747; the Chetwynd family has strong associations with Stafford.
William Chetwynd pre-deceased his father and left no male heir.
The family estates at Ingestre passed on his father's death to his sister Catherine and then to her son William Talbot, 1st Earl Talbot, while his father's title as Viscount passed to William's uncle and namesake William Richard Chetwynd, 3rd Viscount Chetwynd.