In order to solve the problem of drag reduction and vibration suppression of the cylinder flow, a numerical study has been conducted to investigate several key factors affecting the performance of a wavy cylinder. The study with the 3 000 Reynolds number explores the influence of suction and blowing, azimuth (defined as the angle between the suction and blowing device and the opposite direction of incoming flow), and momentum coefficient on various aspects, including the lift and drag characteristics of the cylinder, the distribution of time-averaged pressure and velocity, and the development of flow structures in the near wake. To accomplish this, on the shape of the wave surface, the study uses the steady suction and blowing active control means with the use of the numerical method of large-eddy simulation (LES). The results show that steady suction control proves to be more effective than blowing control in terms of drag reduction and vibration suppression in the wavy cylinder. The lift and drag coefficient of the wavy cylinder decreases with the increase of momentum coefficient when the steady suction azimuth is located on the windward side. Conversely, when the steady suction azimuth is on the leeward side, a pattern emerges: the coefficients initially decrease, then increase, and finally decrease again. This observed behavior can be primarily attributed to the delaying effect of steady suction on flow separation, achieved by absorbing low-velocity fluids. Consequently, this process weakens the downstream and transverse Reynolds stresses in the wake, thereby reducing the pressure difference between the cylinder’s front and back surfaces. Moreover, it notably narrows the width of the near wake of the wavy cylinder in the transverse direction. Under the appropriate suction momentum coefficient and azimuth working condition, the recirculation zone of Saddle section near wake is basically eliminated, and the downstream appears “band vortex”, where the lift and drag fluctuation is significantly controlled and the mean drag coefficient is reduced by 83.84% compared to uncontrolled wave cylinders.