Abstract: A linear filling machine for filling containers that are transported in groups along a linear conveying path has a plurality of machine sections following one another along the conveying path. The respective machine sections form an input station for receiving the containers, a handling station for treating the containers, a filling station for filling the containers, and a discharge station for delivering the containers. The machine sections are exchangeable machine modules, wherein each machine module forms an independent functional unit with a power supply unit and a media supply unit, in particular a pneumatic medium supply unit. The supply units are arranged spatially separate from one another, with the power supply unit arranged on a first side and the pneumatic medium supply unit arranged on an opposite, second side of the machine module.