The aim of this paper is to investigate the elastic fields of a twist disclination loop and a wedge disclination line in hexagonal crystals. The plane of the twist disclination loop and the wedge disclination line are assumed to be parallel and normal to the basal planes, respectively. Closed‐form solutions have been obtained for disclination stress fields and elastic energies. It is noted that the elastic field of twist loops in thin hexagonal crystals and nonhomogeneous systems can be found by the method of images. Energy values for several common hexagonal crystals are calculated.