Abstract: Studies the generalized synchronization of a new fractional-order hyperchaotic system which is defined by the Caputo's fractional derivative according to practical requirements. For this system, a state observer is designed on the bases of pole assignment and the stability theory of a linear fractional-order system. An appropriate feedback gain matrix of the state-observer can be obtained through the pole assignment so as to realize the generalized synchronization between the arbitrary linear nonsingular transformation of the observer's state and the state of the fractional-order hyperchaotic system, thus the conventional modes of synchronization, e. g., the complete synchronization, anti-synchronization and projective synchronization are all available. Numerical simulation verified the effectiveness of the method proposed.