A breast milk pump having an electric motor, a pump driven by the motor, a suction cup, an electrically activated first three-way valve in a suction line, an electrically activated second three-way valve in a pressure line, an electronic control system, which sets the electric motor into an operating mode or an idle mode depending on an activation of a switch; in the operating mode, it operates the electric motor and the electrically activated first and second three-way valves in cycles, which comprise a suction phase, in which the electric motor is switched on, the inlet of the pump is connected to the suction cup via the first three-way valve and a floater valve, the pump outlet is connected via the second three-way valve.