John Sullivan Wells (October 18, 1803 – August 1, 1860) was a United States senator from New Hampshire.

Born in Durham, he attended Pembroke Academy, studied law, was admitted to the bar in 1828 and practiced in Guildhall, Vermont from 1828 to 1835.

He was solicitor of Coos County from 1838 to 1847, and moved to Exeter, New Hampshire and resumed the practice of law.

Wells was a member of the New Hampshire House of Representatives from 1839 to 1841, serving as speaker in 1841.

He was appointed to the U.S. Senate to fill the vacancy caused by the death of Moses Norris, Jr. and served from January 16 to March 3, 1855; he died in Exeter in 1860.