Mars is a terrestrial planet. Mars' dynamic research has not only scientific significance, but also practical, applicable value. The motion of Mars' pole in space depends directly on the precession and nutation of the planet. Martian precession and nutation, on the one hand, can be theoretically modeled; on the other hand, they are constrained by the observational data from the space exploration for Mars. The comparison between the observational data and the theoretical results on the motion of Mars' pole is an important means for checking the Martian internal structure. It also provides the basis for improving the theory of Martian precession and nutation. The recent progress on studies of Martian precession and nutation is reviewed. The rigid Mars nutation series, the construction of the parametric models of the internal structure for Mars and the normal mode of the Mars' rotation are discussed respectively.