An exemplary embodiment of the present invention provides a power train for a hybrid vehicle can achieve three or more fixed gear ratio modes where a vehicle is driven at a fixed gear ratio, such as shift stages of common transmission, only by the driving force of an engine without driving a motor generator, as well as an electric vehicle mode, which is the basic drive modes of a hybrid vehicle, and two or more power division modes including an input division mode and a composite mode, thereby driving the vehicle with high efficiency in accordance with traveling conditions of the vehicle and improving fuel efficiency.