Abstract: A method has been developed for calculating the probabilities of electron-positron pair-production in collisions of heavy nuclei beyond monopole approximation, taking into account the effects of internuclear axis rotation. The effects of rotation were considered in two frames of reference: rotating and inertial. Calculations for symmetric collisions of uranium nuclei show that the effect of the rotational coupling on the probabilities of pair production is negligible for low-energy collisions with small impact parameters.