Multi-zone hot and/or cold thermal regulation method for a building , comprising: a) a step of applying a setpoint temperature T c defined in one or more thermally independent regulated room(s) (P1, P2, P3, P4) of the building ; b) a step of calculating a differential ΔT m of each regulated room (P1, P2, P3, P4), which corresponds to the difference between the setpoint temperature T c and a temperature T m measured at an instant t; c) a step of determining a heating requirement C t of the building at an instant t, the heating requirement C t of the building being determined on the basis of the differential ΔT m of each regulated room (P1, P2, P3, P4); d) a step of adjusting the level of demand of an air production unit at least on the basis of the heating requirement C t of the building , the outside temperature of the building and the maximum operating power of the air production unit , the air production unit being designed to produce and diffuse hot conditioned air and/or cold conditioned air at a determined temperature and according to a flow rate defined on the basis of the heating requirement C t of the building ; e) a step of diffusing conditioned air according to the determined temperature and the flow rate defined on the basis of the heating requirement C t of the building , the conditioned air being diffused in a diffusion network which independently supplies each regulated room (P1, P2, P3, P4) of the building ; and f) a step of thermally regulating each regulated room (P1, P2, P3, P4) by the repetition, at regular intervals, of steps b), c), d) and e), the level of demand of the air production unit being adjusted on the basis of the development of the heating requirement C t of the building . a) a step of applying a setpoint temperature T c defined in one or more thermally independent regulated room(s) (P1, P2, P3, P4) of the building ; b) a step of calculating a differential ΔT m of each regulated room (P1, P2, P3, P4), which corresponds to the difference between the setpoint temperature T c and a temperature T m measured at an instant t; c) a step of determining a heating requirement C t of the building at an instant t, the heating requirement C t of the building being determined on the basis of the differential ΔT m of each regulated room (P1, P2, P3, P4); d) a step of adjusting the level of demand of an air production unit at least on the basis of the heating requirement C t of the building , the outside temperature of the building and the maximum operating power of the air production unit , the air production unit being designed to produce and diffuse hot conditioned air and/or cold conditioned air at a determined temperature and according to a flow rate defined on the basis of the heating requirement C t of the building ; e) a step of diffusing conditioned air according to the determined temperature and the flow rate defined on the basis of the heating requirement C t of the building , the conditioned air being diffused in a diffusion network which independently supplies each regulated room (P1, P2, P3, P4) of the building ; and f) a step of thermally regulating each regulated room (P1, P2, P3, P4) by the repetition, at regular intervals, of steps b), c), d) and e), the level of demand of the air production unit being adjusted on the basis of the development of the heating requirement C t of the building . <EOS>