A connector for medical devices (e.g., a syringe) allows tubing to be securely connected to a medical device output. Medical devices have male Luer lock ports for tubing connection. Tubing has a female Luer member with conical threads for leak-tight connection to a threaded male Luer member. Here, a first tubular connector member extends from a medical device output for axial fluid flow. A first connector body has a flange rearward of the outward end, and a nose end that tapers radially inwardly toward the outward end. A second tubular connector member is coaxial with the first connector member. An axially divergent portion of the second connector acts as a sheath for the nose end of the first connector, with a first end surrounding a portion of the first connector and with a second flange forward of the first end abutting the first flange of the first connector. The second flange has latch members with flexing endwise teeth that rearwardly project through holes in the first flange, whereby the two connectors latch securely.
