Thermal conductivity coefficient k(T) of two crystalline (orientationally-ordered and orientationally-disordered) phases of pure methanol (at temperatures from 2 K to T m , T m is the melting temperature), CH 3 OH + 6.6 % H 2 O glass from 2 K to T g , T g is the glass transition temperature and a supercooled liquid from T g to 120 K has been measured under equilibrium vapor pressure. The dependence k(T ) is described approximately as a sum of two contributions: k I (T) describing heat transport by acoustic phonons and k II (T) -by localized high-frequency excitations. The temperature dependences of the thermal conductivity of primary monoatomic alcohols CH 3 OH, C 2 H 5 OH, and C 3 H 7 OH in the glass state have been compared. Different mechanisms of phonon scattering in the crystalline phases and glass have been analyzed. The k II (T) has been calculated within the Cahill-Pohl model. There is an anomaly of the thermal conductivity of the glass state near T g (a smeared minimum in the k(T) -curve).