In this paper, experimental data on the phase behavior of the binary system (methane + 5-alpha-cholestane) are presented. Experiments were carried out according to the synthetic method. The temperature range investigated was from 320 K to 450 K. The pressures applied did not exceed 250 MPa. Vapor-liquid equilibria have been measured for 18 different mixtures. Additionally, the melting curve of pure 5-alpha-cholestane and the course of the three-phase curve (solid 5-alpha-cholestane + liquid + vapor) was determined. The second critical end point was located at a temperature T = (342.2 +/- 0.5) K, a pressure p = (193.3 +/- 0.4) MPa, and a mole fraction of 5-alpha-cholestane in the critical fluid phase x = 0.049 +/- 0.004.