A cooling electric generator with pipes embedded in its housing which includes mechanisms for generating electrical power from the motor torque provided by a wind turbine rotor, and with an external housing comprised of a cylindrical casing (23) and side shields (25) made of cast iron and have embedded conduits configured to form a refrigeration circuit (31, 41) for the generator with routes for entry and exit (33, 35, 43, 45) of the refrigeration liquid to and from the generator exterior. Preferably, the circuit (31) embedded in the cylindrical casing (23) has a helicoidal form and the circuits (41) embedded in the shields (25) have a spiral form.