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The problem of predicting crack propagation in anisotropic solids, which is a subject of considerable practical importance, is examined by carrying out the analysis on anisotropic solids with an inclined crack subject to uniaxial loading. By deriving the subsequent term of the series expansion for crack tip stresses in anisotropic materials, its effects on the hoop stresses near the crack tip and predicted crack propagation direction are evaluated. In order to determine the direction of crack extension, the normal stress ratio theory is employed. The theoretical analysis is performed for a wide range of the anisotropic material properties. Based on this failure criterion, it is shown that the second order term in the series expansion is essential for accurate determination of crack growth direction in anisotropic solids.KEY WORDS: crack extension angle, anisotropic solids, uniaxial load, second order stress term, mixed mode crack.