A method is disclosed for sterilising bottles, cans or similar containers by introducing H2O2 in the form of vapour or a hot H2O2 sterilisation medium into each container during an application phase, and by activating the H2O2 sterilisation medium in an activation phase by introducing a hot, sterile activation medium in the form of a gas and/or vapour into each container, preferably by introducing hot sterile air into each container.