Incremental Sheet Forming (ISF) technology is a flexible and promising manufacturing technology to manufacture desired shape of sheet metals without using specific dies. The sheet subjected to incremental forming undergoes continuous deformation and frequently fails by fracture. In order to improve the formability, simulation of the ISF process until rupture of the sheet is essential. This paper provides a brief review on fracture prediction of incremental forming process based on uncoupled and coupled damage models, the predictive capability the of damage models in ISF process is compared via forming depth, final shape and crack paths. In addition, the theoretical aspects of various damage models are given in details, the merits and drawbacks of the damage models are carefully discussed. Finally, the paper offers insights into achieving high-quality, defect-free parts using incremental forming technology and highlights future trend in simulation of facture in ISF process.