An apparatus for transferring a pickup of a disc drive which is movably installed on a pickup deck to move the pickup for recording/reproducing information by emitting light onto a disc. The appartus includes a lead screw rotatably installed at one side of the pickup deck, wherein a plurality of screw grooves are formed on an outer circumferential surface of the lead screw, and a slider coupled to the pickup and having at least one first protrusion closely inserted in the screw grooves of the lead screw to convert a rotational motion of the lead screw to a linear motion of the pickup. The pickup also has at least one second protrusion inserted in the screw grooves of the lead screw to prevent the first protrusion from being separated from the screw grooves of the lead screw.