The solving power of non-Kolmogorov turbulence is calculated for analyzing resolution of telescopes in different atmosphere condition. Modulation transfer function (MTF) of long exposure and short exposure is deduced by using the structure function of no-Kolmogorov turbulence, then the solving power is generalized, and the limiting resolution is gotten, which are functions of power-law exponent β. Finally, the normalized resolution is achieved by dividing by the 'limiting resolution'. The results show that the larger β is, the smaller resolution is, and the smaller β is, the larger resolution is. Also, D/r0 is different for the best solving power of long exposure and short exposure, if the β is different.