A rotating body traveling through a fluid with its axis of rotation at an angle to its path experiences a Magnus force component in a direction perpendicular to its path and the plane where its axis of rotation lies. It is called lift force and is a result of the asymmetric flow field created by the rotation body. The magnitude of this force is a function of the rotational speed, inflow velocity and so on. It has been the subject of much research to determine how it affects the path of a rotating body and as a possible high lift device. The aims of the present study are to numerically develop a computational modelling techniques for a rotating circular cylinder. To capture the drag and lift coefficients of the five Reynolds numbers in critical and supercritical region (1.8E+5, 2.5E+5, 3.6E+5, 5.5E+5 and 1.0E+6), numerical formulations in Reynolds-averaged Navier-Stokes and Detached Eddy Simulation were tested for the turbulence models such as k-ε, SST k-ω and Reynold stress model with various wall treatment. The developed method was validated by the experimental research[1]. The commercial solver STARCCM+ (ver 18.04) was used in the present study.