The inventive ozone generator comprises at least one tubular external electrode (4), at least one internal electrode (7), wherein each internal electrode consists of a plurality of tubular metal segments (8) which are closed at least partially at each end and externally ceramic-coated, said tubular segments are disposed one behind another, mechanically de-coupled from each other and electrically connected, a rod (11) axially crosses the tubular segments (8) and is provided on the end thereof with means (12, 13) for axially clamping the tubular segments to each other in such a way that an electric contact is formed. Each tubular metal segment (8) is provided at each end thereof with an outwardly convex bottom (8a, 8b) which is embodied substantially in the form of a spherical cap, comprises a central area (18) for electric contact and is provided with a ceramic coating (9) consisting of at least two thin layers (9a, 9b).