A system for regulating the temperature of a plurality of rooms having mutually differing and varying heating requirements, among which rooms there is normally a cooling requirement, said system comprising a common airflow input and exit means and individual airflow input means extending from said common input means to each of said plurality of rooms, a refrigerator having a refrigerant circuit including connected evaporator means, compressor means, and condenser means, said evaporator means being connected to a first heat-exchanger via inlet and outlet lines constituting a first liquid circuit, said first heat exchanger being designed to bring said common input airflow to the rooms to a heat level which corresponds to the requirement of the room having the lowest heat requirement per input unit volume of air, said condenser means being connected to a plurality of second, parallel heat-exchangers via a second liquid circuit, said second heat-exchangers being arranged in the input airflow to the respective rooms to afterheat the input airflows to the various rooms to the requisite extent, a third heat-exchanger in the common exit airflow from the rooms for transferring the remaining refrigerant vapour heat to said common exit airflow from the rooms, said inlet and outlet lines for the first heat-exchanger being connected to the second liquid circuit via first and second by-pass lines which extend from the warm and cool side respectively of the second liquid circuit, and coupling means for disconnecting said evaporator device, connecting said third heat exchanger as an evaporator in the refrigerant circuit, and connecting said third heat-exchanger into said second liquid circuit when the cooling requirement is replaced by a heating requirement.