Abstract: Time-dependent driven harmonic oscillator system is closely related to many practical physical problems. SU(1,1) Lie algebra is used to solve the problem of SU(1,1)?h(3) time-dependent forced harmonic oscillator system. Firstly，the time evolution operator of Hamilton H ?_0 (t) is solved，then the time evolution operator of V ?(t) in interaction representation is solved. Finally，the general time evolution operator of system is obtained. One example is given to demonstrate the correctness of the method.

Key words: driven harmonic oscillator , SU(1,1), Lie algebra, Riccati equation