In a stator of a linear motor having a plurality of outer core blocks, each of the outer core blocks comprises first and second side core blocks and a center core block. The center core block has an inner diameter equal to an outer diameter of a coil block. Consequently, insulation and heat transfer efficiencies are improved, and the size of the linear motor is minimized. Furthermore, the center core block is provided with a heat sink part, which is inserted in a coil block for dissipating heat from the coil block. Consequently, heat generated from the coil block is effectively dissipated.