A fastening system for passenger seats in a vehicle cabin has two or more guide rails to be integrated into or onto a cabin floor, and a plurality of slides, to be brought into engagement with the guide rails and having a flange for connection to a passenger seat in order to retain the passenger seat on a guide rail. Each guide rail has a profile cross section, perpendicularly to a main axis of extent, having a base region and a supporting region. Each slide has a cavity of complementary design with the profile cross section. The guide rails have a plurality of transverse openings spaced apart from one another between the base region and the supporting region. At least one slide has a displaceably mounted retaining body which, when the slide is in engagement with the guide rail, can be brought into engagement with one of the transverse openings.