A polypropylene random copolymer obtained by copolymerizing propylene and an &agr;-olefin or propylene, ethylene, and &agr;-olefin using a Ziegler-Natta catalyst substantially in the absence of solvent, wherein propylene content is from 92.3 to 75.0% by weight, the ethylene content (E) is from 0 to 2.7% by weight, and the &agr;-olefin content is from 5.0 to 25.0% by weight, and wherein the content (C) of 20° C. xylene-soluble components in the random copolymer satisfies following formulae (1) to (3); in the copolymer wherein the ethylene content (E) is less than 1.5% by weight, C≦12.0 (weight %)  (1) in the copolymer wherein the ethylene content (E) is from 1.5% by weight to 1.8% by weight, C≦42.0−20.0×E (weight %)  (2) and in the copolymer wherein the ethylene content (E) is from 1.8% by weight to 2.7% by weight, C≦6.0 (weight %)  (3).