In this study, the supercontinuum generation in calcium fluoride (CaF₂) crystals are measured during high-intensity femtosecond laser filamentation under different incident laser energies and various crystal orientations. The experimental results show that the maximum blue-shifted cut-off wavelength of the supercontinuum spectrum remains constant at 300 nm for a broad range of incident laser energies because of the intensity clamping effect. Moreover, the maximum blue-shifted cut-off wavelength is also independent on the crystal orientation, but the intensity of supercontinuum significantly varies with the crystal orientation.