A hybrid power driving system is provided, comprising an engine; a first motor; a first, a first reducing mechanism, a second clutch, a first wheels group, a second motor, a second wheels group, a second reducing mechanism, an energy storage device, a clutch, an engine controller, and a motor controller. The motor controller may be configured to: start or stop the first motor and/or the second motor; and control the clutch controller and the engine controller according to a running mode of the hybrid power driving system. A driving method for the driving system as described hereinabove is also provided.