The article deals with the process of interaction between a large amplitude laser wave and an inhomogeneous plasma in a strong magnetic field in the region of parametric resonance. The research is carried out numerically by the particle-in-cell-method. It is shown that in this case the resonance at a double upper hybrid frequency leads to a considerable heating of electrons. From the analysis of the longitudinal field spectra it is concluded that such heating occurs due to the nonlinear interaction of upper hybrid plasmons with electrostatic modes similar to Bernstein modes in the linear approximation. The dependence of the average energy of electrons gained in the heating process on their initial temperature is investigated. © 2019 Federal Informational-Analytical Center of the Defense Industry. All rights reserved.