Terahertz quantum cascade lasers( THz-QCL) is considered as the most promising solid terahertz source.In this paper,three typical designs are shown to optimize terahertz THz-QCL active region. Photo emitting of7. 56 THz is obtained. Also,we have found the resonance phonon relaxation structure thatv has a good high temperature stability,but there is a contradiction if we only adjust the width of the well and barrier layer is not enough. It is necessary to introduce a step-well structure to THz-QCL. These par...