This document describes the aerodynamic analysis of fruit fly ‘Drosophila Melanogaster’ flapping wings for a hovering configuration and symmetric movement of trajectories including phase difference. Computational Fluid Dynamics CFD is applied to understand the kinematics behavior and the flapping phenomenon. The simulation was performed in 2D employing the ANSYS® FLUENT, Academic Research software, replicating, in standard conditions, an elliptical geometry of 3% thickness in an O-type computational grid; a laminar, incompressible and unstable fluid was used, with a Reynolds number of 151, evaluating cases with angles of attack of 25°, 35° and 45°. Once results were obtained, the physical effects present in this type of flight such as the Kramer and Wagner effects, Karman and Leading Edge vortices, and wake capture, were identified using detailed vortex contours throughout the flight cycles studied, giving insight of lift and drag coefficients tendency as well as the increase in vortex generation as the angle of attack is augmented, followed by an analysis and comparison with experimental and simulation data obtained from previous researches in order to validate the methodology applied in this study.