Spin tracking simulations for the planned experiment for measurement of EDM in storage ring for fundamental particles are very important in order to check how to control the systematic uncertainties. Keeping in mind the sensitivity of experiment, various effects are important to be considered. One of the major factors are the interaction of particle’s magnetic dipole moment (MDM) and electric quadrupole moment (EQM) with electromagnetic field gradients that can produce an effect of a similar order of magnitude as that expected for EDM. Spin tracking is done by introducing realistic fields allowing to determine their gradients and extending the T-BMT equation in order to evaluate the real effect of interaction of MDM and EQM with field gradients. It is shown that the effects induced by field gradients do not affect the determination of EDM, but allow precise determination of magnitude of systematic uncertainty.