Decomposed by Zernike polynomials of the wavefront, the relationship between beam quality factor β and static and dynamic aberration are analyzed. The formula between β and Zernike polynomials are obtained. After numerical calculation, the first 65 order fitted coefficients about the formula are offered. The approximate formula corresponding to Kolmogorov atmosphere turbulence is given. These approximate formulas are compared and verified well with the results of numerical calculation.