<p>A propylene polymer composition comprising (a) a propylene polymer (b) an olefin type elastomer and (c) a polar group-containing olefin polymer composition obtained by heating (c-1) an olefin polymer containing a carboxyl group or an acid anhydrous group in its molecule and (c-2) an amino compound, or comprising (a) a propylene polymer, (b) an olefin type elastomer, (c-1) an olefin polymer containing a carboxyl group or an acid anhydrous group in its molecule and (c-2) an amino compound. The propylene polymer compositions are particularly compatible with urethane or amino-coatings.</p>