The invention discloses a constrained filter tracking method for space targets with maneuvering constant values, and belongs to the field of spacecraft navigation guidance and control. According to the method, a maneuvering accelerated speed of a space target is firstly taken as a part of a state variable so as to construct an extended Kalman filter; aiming at the target space with a maneuvering constant value, a norm constraint is applied on the maneuvering accelerated speed and an extended target function is minimized to obtain an optimal estimation; the minimization of the extended target function is carried out through respectively minimizing a system state and a performance index of a maneuvering function; and finally, a process of an extended Kalman filter tracking algorithm for local norm constraints is given, and compared with constraint-free extended Kalman filter, the algorithm is capable of effectively improving the precision of tracking space targets with maneuvering constant values. Moreover, calculation is carried out according to the algorithm, so that the computation loads of computers can be decreased and the problem that the resources of satellite-borne computersare limited is relieved.