The influence of material dispersion on the output characteristics of cross-polarized wave (XPW) in BaF2 crystal driven by Ti∶sapphire laser pulses is investigated theoretically. The numerical simulation results reveal that, when the material dispersion is considered, the energy conversion efficiency of the crystal decreases owing to the effect of the dispersion. The pulse duration of XPW is longer than 1/ 3 duration of the incident pulse, and the saturation intensity increases. The results indicate that the influence of material dispersion on the output characteristics of XPW driven by short laser pulses cannot be neglected.