The present invention relates to a linear stepping motor, the motor characterized by: a housing; a stator mounted inside the housing: a rotor rotatively arranged at an inner surface of the stator and mounted with a female screw threaded to a lead screw; a mounting plate fixed at a lateral surface of the housing for passing the lead screw; and a plate cover coupled between the mounting plate and the housing configured to prevent a bearing rotatively supporting the female screw from axially moving, such that the bearing can be securely fixed in a simple structure by the plate cover itself to allow a free design in the size of a central hole of the housing or the size of an outer diameter of a magnet regardless of the size of outer diameter of the bearing, and the bearing is securely fixed to the plate cover by caulking to prevent the bearing from moving axially, whereby vibration and noise can be remarkably reduced to enhance the reliability of the product.