Richard Thompson can refer to any of the following people:
- Richard Thompson (musician) (b. 1949), the contemporary songwriter and musician
- Sir Richard Thompson, 1st Baronet, (1912–1999), a British Conservative politician
- Richard Thompson (cartoonist), a cartoonist who has also worked as an illustrator
- Richard Thomson (Thompson), the 17th century theologian
- Richard Thompson, former prosecutor and current President of Thomas More Law Center
- Richard Thompson (animator), Warner Bros. cartoon animator in the 1950s
- Richard Thompson (mathematician), for whom the infinite Thompson groups are named
- Richard W. Thompson, United States Secretary of the Navy under Rutherford B. Hayes, 1877-1880
- Rich Thompson (baseball pitcher), an Australian baseballer
- Richard H. Thompson, U.S. Army general
- Richard Thompson (footballer), an English footballer
- Richard Thompson (Australian parliamentarian), a New Zealand-born Australian parliamentarian, businessman and Methodist Lay preacher


