Objective: The absorption activity of saturable absorber material (Cr+4: YAG) for dual wavelengths (1.064 μm and 0.946 μm), simultaneously generated in same passive Q-switching system, has been investigated. Methods: This study utilized the mathematical model that was used in our previous study. Rung-Kutta—Fehelberge numerical method has been used to solve this mathematical model. Nd+3: YAG used as an effective medium and Cr+4: YAG used as a saturable absorber in the laser passive Q-switching optical system. Finding: When the population density of saturable absorber increases, the steady state of photons losses occurs at advancement time and the absorption activity reaches to optical bleaching state at advancement time also (it is occurring approximately at time 35 ns from the beginning of the time of pulse construction when the , while at , approximately at time 47 ns). Novelty: The absorption activity of saturable absorber material for a single wavelength of photons oscillating inside the passive Q-switch laser system received attention by some studies. This study verifies or investigates from the behavior of absorption activity of saturable absorber material when encounters photons with two wavelengths oscillating simultaneously inside the laser cavity in order to obtain high power of the pulses. Keywords: Laser, Passive Qswitching, laser, Dual wavelengths laser, Solid state lasers