Provided are a moving core-type reciprocating motor and a reciprocating compressor having the same. The moving core-type reciprocating motor includes a stator including an inner stator and an outer stator having one side connected to one side of the inner stator and the other side spaced apart from the other side of the inner stator in a radius direction to define a gap together with the other side of the inner stator, a magnet coil wound between the inner stator and the outer stator, a magnet fixed to at least one of the inner stator and the outer stator so as to be exposed to the gap, a rotor including a moving core disposed in the gas and made of a magnetic material to reciprocate with respect to the stator and the magnet and a hollow connection member made of a nonmagnetic material and supporting the moving core so that the moving core is exposed to the gap toward the magnet. Thus, the reciprocating motor and the reciprocating compressor having the same are compact and lightweight to more improve efficiency.