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.