Abstract: The shower system has a heat exchanger located in compartment vertically adjacent to the wall of the shower space and closed off by an openable or removable panel. The heat exchanger comprising a helically winding heat exchange conduit with successive windings around a vertical axis in said compartment above the floor of the shower space. A pump coupled to the shower drain pumps warm water to a warm water feed of the heat exchanger, from where it is sprayed on a top winding of the heat exchange conduit. Tap water is fed to the shower head successively via the heat exchange conduit and a heater and/or a mixing element for mixing water from the heat exchanger with water from a supply input for external hot water.