A reciprocating motor and a reciprocating compressor having a reciprocating motor are provided. The reciprocating motor may include a stator having a magnet coil, provided with an air gap respectively formed at both sides in an axial direction by interposing the magnet coil therebetween; a mover inserted into the stator, reciprocating with respect to the stator as at least one magnet is arranged at any one of the air gaps formed at both sides and a non-magnet is arranged at the other one of the air gaps; and a magnetic resonance spring that resonates the mover with respect to the stator using a force for moving toward low magnetic resistance between the mover and the stator. The reciprocating motor and the reciprocating compressor having a reciprocating motor may be downsized and lightweight, and may obtain high efficiency.