We study numerically the non-equilibrium magnetic properties (the dynamic phase transitions, hysteresis loop areas, correlations, phase diagrams) of the double perovskite Sr2CrReO6 in the presence of an oscillating magnetic field. The dynamic mean-field equations are derived from the Glauber dynamics intertwined with the mean field theory. The time varying average of the Cr and Re magnetizations are investigated to find the phases of the system. The temperature dependence of the dynamic order parameters (the magnetizations, correlations and hysteresis loop areas of Cr and Re) are figured out for the purpose of qualifying the nature of the dynamic second- and first-order phase transitions, alongside with getting the dynamic phase transition points. Finally, the dynamic phase diagrams (DPDs) of the double perovskite Sr2CrReO6 are depicted in the plane of the oscillating magnetic field versus temperature, which include the paramagnetic (p), ferrimagnetic-1 (i(1)), ferrimagnetic-2 (i(2)), non-magnetic (nm) phases, as well as eight mixed phases, (i(1) + i(2)), (i(1) + p), (i(2) + p), (nm + p), (i(1) + nm), (i(2) + nm), (i(1) + nm + p) and (i(2) + nm + p). The DPDs also display some dynamic special points such as the dynamic tricritical, trpiple, quadruple points and some sort of reentrant phenomena, which strongly depend on interaction parameters. Influences of the temperature on the dynamic hysteresis behavior of the system are also investigated at the low values of the angular frequency of the oscillating external magnetic field.