A fiber with cladding made of uniaxial anisotropic crystal material whose optical axis is parallel to the axis of fiber was proposed. The ratio (kcl) of the extraordinary to the ordinary ray index was introduced; the influence of parameter kcl upon the power distribution between core and cladding of this kind of fiber was examined. The calculated results indicate that parameter kcl has a strong impact on power distribution of this kind of fiber, and the degrees of such impact was closely related to the values of parameter kcl.