An apparatus for sterilizing upright containers which are open at the top and transported continuously in succession, which includes a housing a housing with several successively arranged treatment zones, a transport device with several successively arranged receiving spaces, wherein the transport device or the parts thereof forms or form the bottom of the housing. The housing has a fixed channel which is open at the bottom for the passage of the containers, at least one media distribution chamber with perforations at its bottom is provided above the channel in each treatment zone, and distribution members coupled with the transport device are provided above the containers.