A power system having two motors includes: a first motor transmitting power to an output shaft of an engine or receiving power from the output shaft of the engine; a first clutch selectively connecting a first rotor of the first motor to the output shaft and mounted on a first power transmitting member that operably connects the output shaft and the first rotor of the first motor; a second motor outputting power to an input shaft of a transmission; and a second clutch selectively connecting the output shaft to a second rotor of the second motor and mounted on a second power transmitting member that operably connects the output shaft and the second rotor of the second motor.