A fluid connector which provides a low fluid dead volume face seal capable of withstanding high pressures for coupling a fluid conduit to a microfluidic device. The fluid connector includes a housing, a clamping member, a first load support surface and a sealing member. The sealing member preferably includes first and second fluidically connected bores of different diameters so the fluid conduit may be retained within the larger diameter bore. The sealing member is positioned so that the smaller diameter bore interfaces with a port of the microfluidic device. In operation, the clamping member supplies an axial force to the first load support surface which is operatively coupled to the fluid conduit. When an axial force is transferred to the fluid conduit, the face of the fluid conduit at one end seals against the pliant portion of the sealing member while simultaneously urging the sealing member against the surface area surrounding the port of the microfluidic device to create a fluid-tight face seal.