The　thermomechanical　coupling　constitutive　model　of　concrete　is　a　critical　subject　for　the　theoretical　investigation　and　numerical　simulation　of　the　mechanical　behaviors　of　concrete　members　and　structures　at　high　temperature.　This　paper　presents　a　thermomechanical　coupling　constitutive　model　for　the　description　of　the　mechanical　behaviors　of　concrete　at　different　temperatures.　The　expression　of　the　elastic　strain　increment　is　derived　with　the　free　energy　function　including　the　temperature　variable.　The　expression　of　the　plastic　strain　increment　is　derived　from　the　yield　function　based　on　the　Drucker-Prager　strength　criterion.　The　elastoplastic　damage　effect　is　included　in　this　constitutive　model.　The　damage　variable　is　included　in　the　yield　function　to　consider　the　effect　of　the　damage　on　the　elastoplastic　mechanical　behaviors　of　concrete.　The　proposed　constitutive　model　is　validated　by　the　comparison　of　the　simulation　results　of　the　uniaxial　compression　tests　of　concrete　at　different　temperatures　with　the　corresponding　test　results.　The　simulation　results　accord　well　with　the　test　results　at　different　temperatures.　This　indicates　that　the　proposed　constitutive　model　can　characterize　the　mechanical　behaviors　of　concrete　at　different　temperatures　with　considerable　accuracy.　The　proposed　constitutive　model　was　applied　to　simulate　an　axially　compressive　concrete　column.　The　simulation　results　are　consistent　with　the　essential　mechanical　response　behaviors　of　concrete　members　at　different　temperatures.