The invention relates to laminated high oxygen barrier films for packaging applications and especially for shrinkable lidding applications. The multilayer heat shrinkable plastic film of the present invention comprises a laminate of at least two films 1 and 2, wherein film 1 has a hot glycerine shrinkage of more than 20% at 110.degree. C. for 5 seconds and at least one of MD, TD directions; and film 2 has a hot glycerine shrinkage of less than 20% at 110.degree. C. for 5 seconds in at least one of MD, TD directions.