Abstract: It is inevitable to induce the cure-induced distortions in thermoset composites due to extrinsic processing conditions and intrinsic materials anisotropy. Analytical solution could provide a quick prediction and explain underlying mechanisms of cure-induced distortions in composites, therefore it is increasingly investigated. This paper aimed at introducing the factors and sources giving rise to the cure-induced distortions in thermoset composites, with an emphasis being placed on state-of-art investigation on the analytical solutions of cure-induced distortions in flat and curved composite parts, and analyzing their merits and demerits to offer a direction and reference to the estimate of cure-induced distortions in composites. In the end, the future development of cure-induced distortions in composites was discussed briefly.