Mono-oriented film having a shrink rate at 100° C. of at least 15% and at least one layer of which comprises a propylene copolymer with ethylene and optionally other olefins of formula CH2═CHR in which R is an alkyl group containing from 2 to 10 carbon atoms, having at least 5.5% wt of ethylene, a melt flow rate according to ISO 1133 (230° C., 2.16 Kg) of less than 10, and a fraction of polymer soluble in xylene at 25° C. ranging from 14 to 30% weight based on the total weight of said copolymer. The said films are particularly suited for the manufacturing of shrink labels.