The idea of rotating the beam around the optical axis is applied in the solid laser resonator to improve mismatching,uneven gain,pump thermal effects and other issues.An unstable ring resonator with beam rotation has been designed.Using fast Fourier transform method,the mode of unstable ring resonator with beam rotation is simulated.It is shown that the compensation effect to uneven factors is different for different pump styles.The average effect of beam rotation is related to the characteristics of the beam rotation,pumping,cavity magnification,beam rotation angle and so on.In this paper,the average effect of beam rotation is compared for several different pumping styles.As to compensating the inhomogeneous gain,it is found that the beam rotation is favorable when the cross-section is uneven at one-dimensional and angular orientation.The conclusion lays the theoretical foundation for designing and application of unstable ring resonator with 90°beam rotation.