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The work presents the results of numerical investigations of the effect of the load and velocity parameters of a mining truck moving over a long descending grade upon thermal conditions of the multidisc oil-cooled brake (MDOB) operation. The initial boundary-value problem for the heat transfer in the MDOB friction pair under frictional heating has been formulated and solved by the finite-element method. The computations performed for the friction pair of high-carbon steel against frictional composite material based on polymer binders. The effect of the load-velocity operation parameters on the thermal conditions of the mining truck MDOB was studied by way of a multifactor numerical experiment using a mathematical model of heat transfer in the MDOB friction pair.