Non-interactive　deniable　authentication　protocol　is　vulnerable　to　the　receiver　key-compromise　impersonation　attack,　which　are　owing　to　the　reason　that　the　authentication　massage　is　computed　from　the　receiver＇s　private　and　some　other　public　values.　Consequently,　in　order　to　be　suitable　for　evaluation　the　security　of　non-interactive　deniable　authentication　protocol,　we　have　to　re-define　the　attribute　of　key-compromise　impersonation　as　the　attribute　of　sender　key-compromise　impersonation,　then　proposes　an　simple　and　efficient　ID-based　non-interactive　deniable　authentication　protocol.　The　proposed　protocol　has　no　need　for　use　of　an　additional　signature　to　provide　extra　authentication,　and　satisfies　authenticity,　deniability　and　sender　key-compromise　impersonation　security　attributes　simultaneously