The invention discloses a hybrid power system based on an AMT. The hybrid power system comprises a drive motor, an engine and an AMT module. The AMT module is connected with a drive motor and a transmission shaft of a vehicle. The hybrid power system further comprises a collecting module which is used for collecting the maximum torque output by the drive motor or the maximum torque output by coupling work of the engine and the drive motor in all gear intervals and collecting the opening degree of an accelerator, the speed of the vehicle and the residual electric quantity of a battery in real time. The AMT module comprises a calculating module which is used for calculating the current acceleration according to the opening degree, collected in real time, of the accelerator and a mapping table of the maximum torque and the rotating speed, and a switching module used for shifting gears according to the set acceleration threshold value, the current speed, the current acceleration and the residual electric quantity of the battery. The invention further relates to a control method of the hybrid power system based on the AMT, the gears can be shifted with the combination of the current acceleration, the current speed and the residual electric quantity of the battery, and the vehicle can adapt to complex operation conditions.