The present invention discloses a container for a solution of human plasma proteins, comprising: a) a primary inner bag made up of a multilayer polymer film, in which multilayer film two outer layers of polyethylene (PE) and an intermediate layer of ethylene vinyl alcohol (EVOH) copolymer are present, and b) a secondary outer bag made up of a multilayer film which has layers of polyethylene terephthalate (PET)-silicon oxides (SiOx), oriented polyamide (OPA), polypropylene (PP)-silicon oxides (SiOx) and polypropylene (PP), referred to as multilayer PP-SiOx.