The finite element transfer matrix method provides an efficient means to solve complex engineering problems,the state vector of traditional finite element transfer matrix method usually include linear and angular displacement,resulting in solving the transient dynamic problems has a strong dependence on numerical method. Based on this,this paper presents the finite element acceleration transfer matrix method for structural dynamic,the displacement in the state vector into acceleration,angular displacement into angular acceleration,to avoid the direct coupling of transfer matrix and numerical method,the finite element acceleration transfer matrix method for structural dynamic can conveniently solve the structural dynamics problems. At last,an example shows the validity of the proposed method.