The static dielectric constant (permittivity), ε, and the molar volume of supercritical, homogeneous mixtures of methane and methanol were measured at 323 K and 398 K from 50 to 200 MPa over the whole composition range between pure methane and pure methanol. Both quantities were determined simultaneously with the same samples in one autoclave which served as high pressure dilatometer and capacitor. At 398 K and 200 MPa ε increases from 1.53 (methane) to 23.2 (methanol). The measured mixture ε‐values are always below the linear interpolation line. Excess volumes of the mixtures are negative. At constant composition and temperature, ε always increases linearly with increasing density. With the Onsager‐Kirkwood‐Fröhlich relation, dielectric correlation factors, g, have been derived. At constant T and P the g‐values as function of composition give an s‐shaped curve from methane (g = 1) to methanol (g ≈ 2.6). This polar‐nonpolar supercritical combination is one of the very few systems for which the dielectric behaviour in dependence of temperature, total density and the complete concentration range could be studied.