A container-processing apparatus includes a pasteurizer with plural zones, and a transport element. The zones, which follow one another in a transport direction, include a preheating set, a cooling set, and pasteurizing set. The transport element moves containers through the sets, where they are subjected to a treatment medium at different treatment temperatures. Treatment temperatures in zones in the preheating set rise in steps from zone to zone. In the pasteurizing set, treatment temperature is maintained at or above pasteurizing temperature. In the cooling set, treatment temperatures decrease in steps zone to zone. The transport element transports containers in the pasteurizer at a changeable transport speed that is subject to continuous control.
