A beverage maker for making a hot beverage includes a boiler for heating a quantity of water, and a pump. When the beverage maker is operated, a heating element of the boiler is activated, and the water inside the boiler is heated. When the temperature of the water has reached a predetermined value, a thermostat which is arranged in an electronics circuit for energizing the pump is closed, and a pumping action is started. As a result, water exits the boiler, and passes a thermostat which is arranged downstream of the boiler, and which is arranged in an electronics circuit for energizing the heating element. Under the influence of the hot water, a set point of this thermostat is reached, and this thermostat opens, so that the electronics circuit for energizing the heating element is interrupted, and the heating element is deactivated.