In present paper, a numerical study is performed for analysis of effects of geometrical and operational parameters of viscous micropump with the approach to Entropy Generation Minimization by Lattice Boltzmann Method. In study of effect of change in the geometric parameter L and operational parameters ∆P*, it was found that in all ∆P*s, two range of L=1.2 - 1.6 and L=4.4 - 4.8 at EGM viewpoint and two range of L=1.1 - 1.6 and L=4.4 - 4.9 at the minimum power of rotors viewpoint are introduced as optimum ranges. Due to the full overlap of optimum ranges at the EGM viewpoint with the minimum power of rotors viewpoint, the same range mentioned in the EGM viewpoint is selected as the optimal range. Results of the effect of change in the geometric parameter L and operational parameters Re showed that in all Res, two range of L=1.1 - 1.5 and L=4.5 - 4.9 at the EGM viewpoint and two range of L=1.2 - 1.6 and L=4.4 - 4.8 at the minimum power of rotors viewpoint are introduced as optimum ranges. Therefore, the common range of these viewpoint namely L=1.2 - 1.5 and L=4.5 - 4.8 can be selected as the most optimal range. Regarding the effect of change in the geometric parameter ε and operational parameters Re and ∆P* is determined in all Res and ∆P*s, the range of ε = 0.1 – 0.5 is selected as optimum range in the EGM viewpoint and the minimum power of rotors viewpoint.