To provide a core-less linear motor and a cooling system therefor in which cooling efficiency of an armature coil is higher with less limitation on size of the linear motor.

A plurality of coil units 8 in which a tubular coil wire 7 comprising a hollow part is wound by a prescribed times are electrically continuous each other by a prescribed parts. The coil units 8 are laminated to constitute a plurality of armature coils 5 which are supplied with a coolant such as a cooling water delivered by a pressurizing supply source 63 from a supply piping 66 provided on a coil base 11 that supports a mold resin 12 for fixing the armature coil 5. The cooling water from the coil wire 7 of the armature coil 5 is guided outside the coil base 11 through a discharge piping 67 provided on the coil base 11.