In order to produce very complex fluidic connections of valves in an extremely small amount of space, a multivalve unit for flowing media such as air, water, or another fluid, has a sandwich-like plate structure (12) composed of two outer conduit plates (13, 15) and a central sealing plate (14) situated between them, as well as a housing (11) enclosing the plate structure (12). Front plate surfaces (131, 151) of the conduit plates (13, 15) oriented toward the sealing plate (14) are provided with flow conduits (16) that are covered by the sealing plate (14), and the back plate surfaces (132, 152) of the conduit plates (13, 15) are provided with inlet and outlet openings (17, 18) that communicate with flow conduits (16) (FIG. 1).