Abstract: Longitudinal shear problems of collinear rigid line inclusions (sometimes calledhard crack or inverse crack problems) in anisotropic materials are dealt with. By usingthe conplex variable method, we present the formulation of the general problem and the closed form solutions to some problems of practical importance, The atressdistribution in the immediate vicinity of the rigid line end is examined. The corresponding formulation and solutions for isotropic materials can be arrived at fromthe special cases of those in the present paper, some of which are in agreement with the existing results[1].