We performed the Monte Carlo simulation (MCs) in order to study the magnetic properties and the critical behavior of Sr2CrMoO6. Within this magnetic oxide, the Cr3+ and Mo5+ ions form two interpenetrating ferromagnetic sublattices with opposite spins directions (Cr3 (+)up and Mo(5+)down). The exchange interaction between these sublattices is assumed to be ferrimagnetic. The effects of the system parameters on critical temperatures and as a result on the phase diagrams are shown by using reduced values of parameters. The phase transitions and the magnetic stability are investigated in the framework of Ising model. For specific values of the system parameters, the existence of a compensation point is shown. Furthermore, to investigate the critical behavior, the critical exponents are calculated, they indicate that the compound belongs to a three dimensional Ising universality class. The reduced transition temperature is also found. (C) 2015 Elsevier B.V. All rights reserved.