With the popularity of digital video,high efficiency video coding (HEVC) video steganography has received more and more attention.Residual coefficient domain steganography has high security and low bit rate increase.However,during the process of video encoding,the reconstructed coefficient does not meet the independence between blocks,resulting in the modification of video residual coefficients often lead to more serious distortion drift.In this paper,an adaptive steganography algorithm for HEVC video without intra frame distortion drift is proposed.Firstly,the appropriate carrier is selected according to the intra frame prediction modes and the multi-coefficient modification method so as to avoid the distortion drift caused by the coefficient modification.Secondly,the distortion function is designed which contains two factors,i.e.,intra block distortion and modified carrier coefficient distribution.It is employed to guide the syndrome trellis codes (STC) to modify the carrier with low embedded distortion.Finally,according to the minimum distortion cost,the message is embedded into quantized discrete sine transform (QDST) coefficient of the 4×4 luminance block,which meets specific conditions.Experimental results show that the proposed video steganography algorithm can effectively avoid intra frame distortion drift and ensure the security of the steganography algorithm while achieving good visual quality.