In this work numerical investigation of mixed convection by non-concentric different positions of rotating circular cylinder in square enclosure is investigated. The assumption of using six rotating cylinders at constant temperature Th and square closed enclosure with temperature Tc for all walls are maintained. Continuity, Momentum and energy governing equations are solved by using finite volume technique using Ansys-Fluent 16 commercial code with two dimension and steady state case. Richardson number (Ri=Gr/Re2) varying over the wide range of 0.1, 1, 10,100, 1000 and ∞. This research investigate the effect of changing the rotating circular cylinder positions along the vertical centerline on the fluid flow and heat transfer inside the enclosure. Six different positions are tested. The phenomenon inside the square enclosure is mathematically analyzed. A streamlines, isothermal patterns, local Nusselt numbers, and average Nusselt numbers are calculated. The analytical results give that, the Richardson numbers is playing the dominant role on temperature distributions and flow patterns inside the enclosure. The average Nusselt number variation demonstrates the best location of rotating cylinder which gives best heat transfer value. The bottom left corner (P4) is the best location for hot rotating cylinders. While the rotating in middle right (P6) is the inferior position