The axis-rotational evolution of exoplanets on close orbits around the parent stars strongly depends on their magnetic and tidal interactions. Impulsive perturbations from a star created by periodical activity may accumulate with time and leads to significant perturbations of the planet spin evolution in long terms. We consider the spin evolution for different conditions of gravitational, magnetic and tidal perturbations, orbit eccentricity and different angles between the plane of the planetary orbit and the reference frame of a parent star. In this report we present our results of analytical and numerical calculations of the spin evolution, and discuss the problem of the star-planet magnetic interaction and aspects of possible associated stellar activity.