They are: Benet Allen (Liberal Democrat); Gary Miele (Conservative); and Maureen Smith (Labour).
Three candidates have also been nominated for election in the by-election in the Minehead North Ward on Minehead Town Council. They are: Ralph Dinnick (Conservative); Mark Kingston-James (Independent); and Kathrine See (Labour).
The by-elections will be held on Thursday February 22. Polling stations will be open from 7am-10pm.
Poll cards are being sent out to voters in the relevant wards – the last date to register to vote in the by-elections is Tuesday February 6. Applications for postal votes must be received by 5pm on February 7.