Flexible, heat-sterilizable multilayer film for medical packagings, comprising (a) a first polymer layer (A) containing impact-modified propylene homopolymer; (b) a second polymer layer (B) containing: B1) 60% to 85% by weight of a homogeneous composition (B1) having a melting point of >125° C. and a density of from 945 to 960 kg/m3, composed of: B11) 65% to 85% by weight of ethylene homopolymer, and B12) 15% to 35% by weight of ethylene/C4-C12 alpha-olefin copolymer; B2) 11% to 30% by weight of propylene terpolymer; B3) 4% to 15% by weight of polyethylene elastomer (ethylene/C4-C12 alpha-olefin copolymer); c) a middle polymer layer (C) containing: C1) 61% to 80% by weight of propylene terpolymer; C2) 15% to 25% by weight of styrene block copolymer elastomer; C3) 5% to 19% by weight of polyethylene elastomer.