The coupling between the strain gradient and electric polarization is known as flexoelectricity in dielectrics materials. In case of magnetic media it takes the form of electric polarization induced by spin modulation and vice versa. This spin flexoelectricity causes new physical phenomena of micromagnetism such as electric field driven magnetic domain wall motion and electrical control of magnetic vortices in magnets as well as clamping of the magnetic domain walls at the ferroelectric ones in multiferroics.