The present invention relates to shaped bodies comprising a composition (Z1), wherein said composition comprises at least one polymer having an elongation at break of >30% and at least one porous metal-organic framework material, to processes for producing shaped bodies of this kind and to the use of a composition (Z1) comprising at least one polymer having an elongation at break of >30% and at least one porous metal-organic framework material for production of a film, membrane or laminate having a water vapor permeability according to DIN 53122 at 38° C./90% rel. humidity of greater than 1000 g/(m2*d), based on a film thickness of 10 μm.