There is disclosed a stator of a linear compressor which comprises a bobbin of a cylindrical shape having a recess for winding coils at the outer circumference thereof, coils wound in the coil winding recess, and a plurality of cores inserted into the bobbin. A plurality of guide rails extending to the axial direction of the bobbin are arranged radially at regular intervals on the inner circumference of the bobbin and the cores are mounted between the respective guide rails. Further, a plurality of guide projections extending outward from the outer circumferences of the upper and lower ends of the bobbin are arranged at regular intervals. In addition, there are further provided a plurality of supporting jaws extending toward the inside of the bobbin between the respective guide rails.