The invention relates to a container for a contact lens storage solution, in particular having contact lenses in said contact lens storage solution. The container has a vessel (14), which has a filling opening (20), and a first closing element (24), which can be attached to the vessel (14) and which closes the filling opening (20). The first closing element (24) has a gas supply channel (42) for a cleaning and/or sterilizing gas, which extends from at least one inlet (40) on an outer face of the first closing element (24) to at least one outlet (48) on an inner face of the first closing element (24) facing the interior of the vessel (14). On the outer face of the first closing element, said first closing element (24) has at least one venting opening (50) for the escape of gas from the vessel (14). The invention further relates to a container for a contact lens storage solution, which has a second closing element (26) which is arranged on the first closing element (24) and which closes the at least one inlet (40) of the gas supply channel (42) and the at least one venting opening (50) of the first closing element (24).