Utilizing multi-feature for ballistic target recognition is a trend in the ballistic missile defense field. In the published literatures, the structure feature extraction of ballistic targets need know some precession parameters, while the precession feature extraction need know some structure parameters, which makes a deadlock in the feature extraction of ballistic targets. Firstly, this paper analyzes the trace of each scatter in the time-High Range Resolution Profile (HRRP) distribution of the cone-shaped warhead in detail. Then, based on the time-HRRP distribution and combining the trace and geometry relation of each scatter, the precession feature, including the precession frequency, precession angle, initial phase angle and the angle between the precession axis and the Line Of Sight (LOS), and the structure feature, including the target height, radius of the undersurface, distance between the centroid and undersurface, and the distance between the centroid and radar, are extracted jointly. Finally, the simulation results are given for validating the proposed algorithms.