The Bueckner work conjugate integrals are studied for cracks inanisotropic clastic solids.The difficulties in separating Lekhnitskii’s two complexarguments involved in the integrals are overcome and explicit functional representa-tions of the integrals are given for several typical cases.It is found that the pseudo-orthogonal property of the eigenfunction expansion forms presented previously forisotropic cases,isotropic bimaterials,and orthotropic cases,are proved to be also validin the present case of anisotropic material.Finally,Some useful path-independent in-tegrals and weight functions are proposed.