Connector (1) for medical way valve, comprising: - an adapter (5) tubular female cone (8) internal Luer - a tubular body (2) having an adapter (3) male inlet cone (14) external luer, which can be coupled axially by friction within said adapter (5) female an adapter (4) output and valve means for controlling flow passage between said pads (3, 4) input and output, wherein said adapter (3) male inlet comprises an outer tubular member (10) internally threaded for coupling threaded onto said adapter (5) female, and an inner member (12) tubular axially movable relative to said tubular body (2) from a retracted closing position to an advanced position of opening of said flow passage, means (18) sealing sliding of said element (12) tubular inner, and elastic means (18) tending to maintain said element (12) inner tubular in said retracted position closing characterized said connector that: - said member (10) tubular outer internally threaded adapter (3) male inlet body (2) is free to rotate tubular with respect to said element (22) inner tubular and - said element (10) tubular outer rotary and said element (12) tubular inner are configured such that: - when said cone (14) external luer fitted axially within said cone (8) internal Luer adapter (4 ) female coupling screwed between said element (10) tubular outer rotary and said adapter (5) female only after an initial axial displacement of said adapter (5) female, which produces an axial displacement thus said element (12 is obtained) inner tubular from the retracted closed position to said advanced position of opening of said flow passage, against the action of said means (18) elastic and - when said element (10) tubular outer rotary unscrewing of said adapter (5) female and said means (18) elastic return said complete element (12) tubular to said retracted position closing said flow passage, said cone ( 14) external luer remains axially coupled by friction within said cone (8) internal luer female adapter.Conector (1) de vál