In this work the theory of free induction decay in linear and cross-linked exible polymers with a various average length of a polymeric chain in a wide temperature is represented. It is shown the change of topological structure of linear polymers with increasing of mean molecular weight Mw, and at Mw > 10 5 the physical network of entanglements starts being formed. The correlation function of molecular motion which is applied to calculation of diusion attenuation of spin echo is received. The general approach to calculation of signals of diusion attenuation spin echo and its application for determination of coecient of self-diusion in elastomers with various topological structures is oered. It allowed explanation observed experimentally anomalous diusion.