The invention pertains to medicine, in particular pharmacology, and concerns the application of a nasal medicinal composition containing the hexapeptide tyrosyl- D-alanyl-glycyl-phenylalanyl-leucyl-arginine or its pharmaceutically acceptable salt for the treatment of acute respiratory viral infections (ARVIs), in particular those caused by the influenza virus. What is claimed: application of a nasal medicinal composition containing the hexapeptide tyrosyl-D-alanyl-glycyl-phenylalanyl-leucyl-arginine or its pharmaceutically acceptable salt for the treatment of acute respiratory viral diseases (ARVI).