Apparatus is provided for a reversible connection catheter comprising in combination a hub and a valve housing portion. The hub is composed of a tapered molded body having a narrow tapered end and an enlarged other end. The narrow tapered end has integrated therein a double lumen catheter projecting therefrom. Two bores extend through the hub each communicating with a distinctive lumen in the catheter. The valve housing portion is composed of a distal segment with two spaced through first openings, a proximal segment with two spaced through second openings and a resilient gasket portion with two spaced first female luers mounted between the proximal and distal segments. The valve housing further has a third opening in said proximal segment positioned between the first and second openings and a second female luer on the resilient gasket portion in alignment with said third opening to serve as a flushing valve. A structural member operatively holds the hub and valve housing portion together. A stopcock may be interposed and held between the hub and the valve housing portion.