A micro-needle (80) is provided which is particularly useful for the minimally invasive sampling of a biological fluid and/or the minimally invasive delivery of a drug or other formulation across the skin. The micro-needle (80) has a structure having a base (70) at a proximal end and a vertex (60) at a distal end (58), and an open lumen (55) extending there through and through which fluid may be transferred. The structure defines a structural axis (65) that intersects the lumenal axis (56) defined by the open lumen (55). The point of intersection (90) between these axes is at a point below the vertex (60) of the micro-needle (80) to provide a sharp apex (60) at the distal end (58) of the micro-needle (80) and defines the general configuration of the distal end (58) of the micro-needle (80), which may be selected or customized depending on the intended use of the microneedle (80). The micro-needle (80) may be integral with a measurement device for measuring the concentration of a constituent within sampled biological fluid and/or with a fluid reservoir for containing a fluid to be delivered, and may also be used in conjunction with a remote control means. Methods of making and using the micro-needle (80) of the present invention as well as kits comprising one or more of the micro-needles (80) are also provided.