A transverse flux type reciprocating motor and a reciprocating compressor having a transverse flux type reciprocating motor are provided. The transverse flux type reciprocating motor may include a first reciprocating module including a first stator and a first rotor that reciprocates with respect to the first stator, a second reciprocating module including a second stator disposed to be spaced apart from the first stator in parallel to an axial direction and a second rotor that reciprocates with respect to the second rotor in the axial direction, and a connection member that connects side surfaces, which face each other, of the first rotor and the second rotors to each other. Thus, a magnetic resonance spring for allowing the rotor to be resonant with respect to the stator may be realized by using a force that moves to a side at which magnetic resistance is low between the stator and the rotor.