Zero-propellant maneuver is an advanced concept of attitude control, which has been applied to the International Space Station. The dynamic models of space station using control momentum gyros are constructed, and the momentum equilibrium relation between space station and control momentum gyros is established. Then, considering different large angle attitude mission, the relation between inertia of space station and characteristic parameters of control momentum gyros is analyzed, and conditions of zero-propellant maneuver path existence are obtained. Effectiveness of the existence conditions is verified by the path planning examples. The proposed existence conditions can provide a convenient and effective method to determinate whether the zero-propellant maneuver path exists, which can provide significant theoretical argument for zero-propellant maneuver technology to apply to Chinese Space Station in future.