The condition to realize the negative refraction in the uniaxially anisotropic chiral medium with an optical axis parallel to the interface has been investigated. The variations of refraction angles of two eigenwaves with the incident angle for different electromagnetic parameters and chirality parameters are also analyzed. The results show that the uniaxially anisotropic chiral medium is easy to realize the negative refraction, even though it has a small chirality parameter. And for the different permittivities, chirality parameters and incident angles, the phase refractive angles of the two eigenwaves in the uniaxially chiral medium are distinctly different. In a peculiar condition, one or two eigenwaves cannot propagate in the medium.