In this paper we investigated Cherenkov radiation component influence on the time of charged particle detection in LYSO(Ce) crystals. Description of the experiment setup and Monte Carlo simulation scheme are given. The scintillation and Cherenkov radiation processes in LYSO(Ce) crystal were simulated and studied experimentally with electron beam at Budker Institute of Nuclear Physics beam test facilities. The results of the measurements and simulation are presented. The effect of particle detection time shift due to Cherenkov radiation was obtained. It amounts of several tens of picoseconds for LYSO(Ce) crystal bar (it has dimensions of 3 × 4 × 50 mm3). Beam test results are in good agreement with calculations.