The invention discloses a bi-direction overrunning hybrid power engine-motor connecting mechanism. The mechanism comprises a motor assembly; an output shaft of the motor assembly is sleeved with a driving disc; a connecting shaft hole is formed in the middle of the driving disc in the axial direction, and the connecting shaft hole is provided with a first connecting segment and a second connecting segment, wherein the first connecting segment is used for being connected with a transmission shaft of an internal combustion engine, and the second connecting segment is used for being connected with an output shaft of the motor assembly; a bi-direction overrunning clutch is in interference press fitting in the second connecting segment. By the adoption of the structure, output power of the internal combustion engine and output power of the motor are effectively combined, a starter motor, a charging magnetic motor and a driving motor are combined into a whole, repeated design and use of associated components are greatly reduced, the failure rate is lowered, meanwhile, structure cost of a fuel-electricity hybrid power engine is greatly lowered, and the mechanism is convenient to assemble, easy to repair and good in reliability.