The present research aims at modelling the fracture occurrence in Ti6Al4V titanium alloy sheets when deformed at room and elevated temperature, taking into account their anisotropic behaviour. The coupling of the Barlat–Lian 1989 anisotropic yield criterion and GISSMO damage model was introduced to predict the fracture occurrence and capture its anisotropic characteristics. The two models were calibrated on the basis of an extensive experimental campaign, including tensile tests on smooth and notched samples, shear tests and Nakajima-type tests at varying temperature and rolling direction. In order to validate the proposed approach, tests not used in the calibration phase were used, and the comparison between experimental and numerical results was carried out in terms of fracture characteristics at varying temperature and rolling direction. It was proved that the proposed modelling was able to satisfactorily reproduce the different fracture characteristics arising as a consequence of the sheet anisotropy and testing temperature.