Influence of the non-gravitational effects on the motion of short-period comet 67P/Churyumov-Gerasimenko is investigated. It was found that the normal component of the non-gravitational force exceeds the transverse one and a model of the motion including A_1, A_2, A_3 better fits the observations than model neglecting A_3. Assuming asymmetry in g(r) with respect to the perihelion the large value of displacement tau was derived (about 34 days), and very small negative value of transverse component A_2 was obtained. The models of rotating non-spherical nucleus also suggest the large shift of light curve with respect to perihelion (tau>=30). The forced precession model of 67P with tau=34 days gives a prolate spheroidal shape of the rotating nucleus with axial ratio R_b/R_a=1.16, rotational period to equatorial radius P_rot/R_a=4.6+/-1.4 hrs/km, and torque factor f_tor=3*10^5 day/a.u. The orientation of spin axis of the nucleus and its evolution are presented. The past and the future dynamical evolution of comet 67P is also widely discussed.