The goal of this study is to gain a better understanding of the parameters affecting non-coplanar crack-extension in unidirectional composites. The physical points of several criteria (the strain-energy-density theory, the normal-stress-ratio criterion, the tensor polynomial failure theory, and the energy-release-rate model) are reviewed. The correlations between the theoretical predictions and some experimental results are presented. Specific emphasis is placed on finding a consistent criterion for predicting the non-coplanar crack-extension. After comparisons, it is determined that the energy-release-rate criterion based on the global energy balance and the normal-stress-ratio theory show an ability to predict non-coplanar crack-extension in unidirectional composites.