A multi-lumen luer connector (1) comprises a first part (2) having an outer connector (2a) and an inner connector (2b) disposed within the first outer connector (2a). A second part (3) comprises a second outer connector (3a) and a second inner connector (3b) disposed within the second outer connector (3a). One of the first and second outer connectors (2a, 3a) is configured as a male part comprising a first tapered body with a bore extending therethrough and the other of the first and second outer connectors (2a, 3a) is configured as a female part with a first conical bore adapted to receive the first tapered body and sealingly engage therewith to define an outer lumen (4). The first and second inner connectors are configured in a similar manner to define an inner lumen (5) disposed within the outer lumen (4).
