In this paper, the fractional order dynamical systems are precisely reproduced based on T–S fuzzy model and the predictive control method is employed for T–S fuzzy fractional order dynamical systems. The proposed control technique is applied for synchronization of two identical and nonidentical with mismatched fractional derivatives of T–S fuzzy fractional order dynamical systems. Also their corresponding necessary conditions are derived to achieve the synchronization. Numerical simulations are demonstrated to validate the effectiveness of the proposed theoretical results.