© IAEME Publication.In this study, steady incompressible viscous flow around a circular cylinder at high Reynolds numbers are solved numerically. Using a very efficient numerical method and a very large mesh, numerical solutions are calculated up to =500. It is found that the solution change behavior around =100 and =300. At the center of the wake bubble, around =300 the vorticity starts to increase fast linearly and the width of the wake bubble starts to increase rapidly. Good agreement is found with the results found in the literature. Detailed results are presented.