A Tisapphire laser with domestic un-paired chirped mirror for intracavity dispersion compensation is reported. Ultrashort optical pulses with mode-locked pulse output power of 120 mW are generated at a repetition rate of 93.7 MHz. The pulse duration as short as 9.7 fs is achieved after extracavity dispersion compensation. The spectrum and pulse autocorrelation trace evolution with intracavity dispersion are investigated by adjusting the insertion of intracavity wedge. A numerical model of the Tisapphire laser is also built based on the split-step Fourier method for solving nonlinear Schrdinger equation. The parameters used in the simulation are the same as in experiment. 10 order of Taylor series are used for modeling oscillation of the dispersion curve of chirped mirror. The mode-locking dynamics in the vicinity of zero cavity dispersion is achieved, and the restriction of higher-order dispersion on pulse duration compressing is also analyzed.