A kinetic description of the fast relaxation of coexisting spherical and cylindrical micelles is given. The complete spectrum of the times of the comparatively fast establishment of separate quasi-equilibria of surfactant monomers and spherical and cylindrical micelles was found in an analytic form by solving the linearized kinetic aggregation equation complemented by material balance equation at surfactant concentrations above the second critical micelle concentration. The results are compared with the earlier data on the kinetics of fast relaxation in solutions of surfactants in the absence of either cylindrical or spherical micelles.