The reflection and transmission characteristics are analyzed theoretically when circularly polarized light is incident upon the surface of a chiral negative refraction medium. Normalized reflected and transmission power curves vs incident angle,and Brewster angle curves vs the cbirality parameter are plotted. When the incident angle is larger than the critical angles of two eigen waves,the total internal reflection occurs. Due to the negative refraction of one eigenwave in the chiral medium,the polarization state of the reflected waves caused by the incidence of right or left circularly polarized light is very different from that in the common medium. The reflected waves are linearly polarized with different polarization direction when the light is incident at the Brewster angle.