A micromachined coupler for coupling a capillary having a first size to an orifice having a shape and a second size, has a body which has a shape conforming the shape of the cavity into which the body must fit. A through hole is defined through the body. The through hole has a size conforming to the first size of the capillary. The capillary is disposable into the through hole so that the capillary is communicated to the orifice without the first and second sizes necessarily being the same. The cavity and the body have conforming slanting surfaces, and in particular the cavity and the body define truncated pyramidal shapes. The cavity and the body each have a truncated pyramidal shape. The pyramidal shape may be square, triangular, or conical. A method of fabricating the micromachined coupler is achieved either by micromaching or micromolding.