Abstract: Under the effects of the initial perturbation and torque, the motion of the spin-stability spacecraft is the compound of nutation and precession, named quasi-regularized precession. The motion parameters estimation of the quasi-regularized precession object is important to the determination of the attitude and the reentry point of the object. This paper presents a novel method to estimate the motion parameters of the rotation symmetric object based on the measurements from wideband radar. Firstly, the kinematic model of the quasi-regularized precession is derived; and then the algorithm of 3D motion reconstruction from 1D radial range histories of multiple scatterers is extended to the 2D motion reconstruction of the rotation symmetric object; and thirdly based on the 2D Euclidian motion reconstruction result, the method of nutation and precession parameters estimation is proposed by using the cyclic iterative of sequential quadratic programming and nonlinear least square algorithm. The electromagnetic simulated data show that the proposed method is validated for its effectiveness.