An intravascular catheter, comprising a hub having at least one branched tube mounted thereto apart from each other in the axial direction of the hub, a flexible double-walled tube having an inwardly tapered tip portion and consisting of an inner tube and an outer tube coaxial with the inner tube, providing an annular passageway between the outer wall of the inner tube and the inner wall of the outer tube and a needle removably inserted into the inner tube of the double walled tube. Further, the inner passageway has an opening at the tapered tip of the double-walled tube and the forward end of the annular passageway communicates with a bore or bores provided at the forward end portion of the outer tube excluding an upper portion thereof as defined by 20 in FIG. 6.