A calcium fluoride crystal produced in accordance with a method for producing calcium fluoride crystal on the basis of refining a raw material of calcium fluoride and causing crystal growth of the refined calcium fluoride, the method including a process of raising a purity of the calcium fluoride to complement the refining, wherein a transition density in crystal is not greater than 110⁵/cm², and that dispersion of transition density inside an effective portion in crystal is in a range of 510⁴/cm². Also disclosed is an optical element to be manufactured by use of such CaF2 crystal.