A three-dimensional model relating to the abnormal grain growth in austenite is developed in the presented work, based on the cellular automata technique with the use of a local transition function. The model allows consideration of both anisotropy of energy and mobility of grain boundaries and shows the oscillation motion of the boundaries at the stagnation stage. Calibration of the model in relation to experimental data for austenite has allowed the calculation of the quantitative parameters of the system, such as Gibbs energy, driving and pinning forces, grain boundary velocity and mobility, duration of the incubation period of the abnormal grain growth and the critical grain size. The derived data allows the quantitative description of the kinetics of the secondary recrystallisation process in austenite and can be used for the deeper understanding of the abnormal grain growth phenomenon in metals.