An apparatus includes a catheter for an intrathecal drug delivery system and a stylet having a curved forward end. Preferably, the curved forward end has a shape in the form of a “J” or a “C.” Also preferably, the catheter has a distal end that conforms to the curved forward end of the stylet. Thus, the present invention provides a catheter having a blunt forward end that minimizes the risk of penetrating the substance of the spinal cord. Additionally, the curved forward end of the stylet can be formed of a springy material so that it straightens out during the processes of insertion through a guide needle and retraction from the needle.