The invention discloses a dynamics control method and system of space non-cooperative target navigation acquisition. For the problem of navigation acquisition of a space robot for on-orbit grabbing ofa rotating or turning non-cooperative target, the dynamics control method of space non-cooperative target navigation acquisition is put forward in the description. The method includes the steps of firstly, establishing kinetic energy analytic type description of a space robot system; secondly, establishing a kinematics equation of the space robot; thirdly, establishing an analytic type space robot system kinematics and dynamics model through a second-kind lagrange equation and a pseudo-coordinative equation. The method is obtained by deducing a vector mechanics theoretical method, the matrixand vector calculation is adopted, the equation is an analytic type expression, and the physical meanings are clear. By means of the method, the coupling analysis can be conveniently conducted for thekinematics and dynamics of the space robot system, a dynamics control algorithm based on the model can be conveniently obtained, the calculation amount is small, and the real-time calculation of thecontrol algorithm is convenient.