The invention discloses a power driving system and a vehicle. The power driving system comprises a power coupling device, a power transmission part, an intermediate shaft, an engine, a first motor generator, a second motor generator, a third motor generator and a first brake device. The power coupling device comprises a first sun wheel, a first planet frame, a first gear ring, a second sun wheel, a second planet frame and a second gear ring. The power transmission part is in coaxial linkage with the first sun wheel and the second sun wheel. The intermediate shaft is in linkage with the power transmission part. The engine selectively makes junction with the intermediate shaft. The first motor generator is in linkage with the first gear ring; the second motor generator is in linkage with the second gear ring; and the third motor generator is selectively in linkage with the engine. The first brake device directly or indirectly brakes the intermediate shaft. According to the power driving system, the differential speed function is achieved under the precise that a traditional mechanical differential mechanism is omitted, and meanwhile the power driving system has the abundant transmission mode.