This work presents the results of in vivo measurements of human corneal birefringence properties using the one-way reflective polariscope, in which the same module is used to generate and analyze the light polarization state. Data analysis was performed with the use of Mueller polarimetry techniques. The distribution of the azimuth angle and the phase retardation was determined on the paracentral and limbal areas. The results indicate growth of the phase retardation magnitude and the radial orientation of the azimuth angle in the cornea's peripheral region, which confirms our assumptions and the results presented by other researchers.