A polypropylene laminated film containing a crystalline polypropylene layer and, laminated on at least one side of the layer of the crystalline polypropylene, a layer of a copolymer of propylene and at least one .alpha.-olefin of from 4 to 10 carbon atoms having a specific composition, melt flow rate and molecular weight distribution in which the .alpha.-olefin content in the cold xylene soluble portion of the random copolymer is less than 1.7 times the .alpha.-olefin content in the copolymer and the random copolymer satisfies the mathematical expression,B.ltoreq.1.05A-10,wherein A is a weight percentage of the content of said at least one .alpha.-olefin having from 4 to 10 carbon atoms in the random copolymer and B is a weight percentage of the cold xylene soluble portion in the random copolymer, is superior in low temperature heat sealability and hot tack property and moreover has a good transparency, blocking resistance and printability, wherein the random copolymer is obtained by gas phase polymerization substantially in the absence of a liquid medium, and using a catalyst system comprising (i) a solid catalyst component containing magnesium, titanium and a halogen as essential constituents, (ii) an organoaluminum compound and (iii) an electron donative compound.