A transverse flux reciprocating motor and a reciprocating compressor having a transverse flux reciprocating motor are provided. The transverse flux reciprocating motor may include a stator wound with a magnet coil, a mover inserted into the stator and coupled with a magnet having opposite magnetic poles in an orthogonal direction with respect to a magnetic flux generated by the magnet coil, and a magnetic resonance spring that allows the mover to perform a resonance motion with respect to the stator using a force trying to move toward a side with low magnetic resistance between the stator and the mover, whereby the transverse flux reciprocating motor and the reciprocating compressor having a transverse flux reciprocating motor may be reduced in size and weight and obtain high efficiency.