A cartridge (2) comprises a base (10), a slide (20), a thermostatic actuator (30, 34), a cover (40), and a regulation and control system (50). The base comprises two base parts (11, 12) which, in an assembled state, are superimposed one against the other along an axis (X-X) with the interposition of a seal (13) and which jointly define a mixing chamber. The slide is movable in the chamber in orderto inversely vary the flow sections of two passages, which are respectively supplied through one of the two base parts and which are delimited axially between the slide and respectively one and the other of the two base parts. The thermostatic actuator is arranged in the chamber and moves the slide to a regulation position as a function of the temperature of the mixture exiting the chamber. The cover is, in an assembled state of the cartridge, secured to the base. In order that this cartridge is fast and convenient to assemble, a first of the two base parts comprises at least one tab (14), which extends parallel to the axis, which, at a first axial end is connected to the rest of the first base part in both an axially fixed manner and a deformable manner to allow elastic deflection of thetab transversely to the axis, and which at its second axial end is provided with both at least one retaining surface, against which the second base part bears axially to hold the two base parts together, and a protruding relief (18) which is adapted to interact with the cover so that, during assembly between the cover and the base, the cover and the protruding relief slide against one another todeflect the tab towards the axis and, in the assembled state of the thermostatic cartridge, the protruding relief engages a hole (41) of the cover to axially retain the cover relative to the base.