The dependencies of propylene permeability coefficients vs, pressure at 298 K in the films of glassy polymers - polyphenylene oxides, poly(amide imide) and poly( vinyltrimethylsilane) - exhibit a sharp multifold rise ("permeability crisis") at ca. 0.45 MPa. The analogous dependence for the rubbery polyethylene is represented by the monotonously rising smooth curve. No "permeability crisis" was observed as well for the pressure-permeability dependencies of Ar, O-2, N-2, C2H4 and C2H6 in the polyphenylene oxides at pressures up to 1 MPa.