The present invention relates to a medical needle which comprises an elongate tube and at least one optical fiber, e.g. two fibers, arranged within the elongate tube, for making optical measurements at the distal end of the needle. The optical fibers(s) has a beveled distal end surface, wherein a plane touching the beveled distal end surface and a longitudinal extension axis of the optical fiber forms a bevel angle which is 30°-35°. Such needle is advantageous for providing a medical needle which is reliable and long term stable, can be manufactured in low cost using known optical fiber materials, thus allowing it to form part of disposable medical kits. Still, the bevel angle of 30°-35° provides a needle which is easy to insert and which provides a low tendency to cause tissue sticking. Especially, the elongate tube and the optical fiber end(s) have the same beveled angle within the range 30°-35°, thus allowing a smooth front surface of the needle.