Fission rates of the nuclides Th-232, U-235 (with and without cadmium filter), U-234, U-236, Np-237 and U-238 were measured on the side surface of a massive lead target irradiated at the Syncrophasotron accelerator (JINR, Dubna) with protons at kinetic energy of 5.0 GeV. These measurements were carried out using the technique of solid-state nuclear track detectors. Comparison of the measured values was made with the results obtained by means of Monte-Carlo simulation using the computer code DCM/CEM.