The effect of the anomalous magnetic moment of the nucleon on the value of the internal conversion coefficient is investigated.The parts played by the sealer and tho longitudinal photons in the process of the internal conversion are first discussed. The retarded interaction between the charged particles with anomalous magnetic moment is derived by the correspondence method. The results obtained is then verified by the quantum electrodynamical treatment. The retarded interaction thus obtained is then applied to the calculation of the internal conversion coefficient. It turns out, that the anomalous magnetic moment of the nucleon has negligible influence upon the coefficient of the magnetic conversion and the coefficient of the electric conversion induced by the proton transition. However, the anomalous magnetic moment of the nucleon does cause considerable modification of the coefficient of the electric conversion induced by tho neutron transition, contrary io the conclusion arrived a,t by various authors. The problem of the gauge transformation is discussed and the errors contained in the treatment given by these authors are pointed out.