The problem of H∞ state feedback controller design is investigated for polynomial fuzzy systems based on sum-of-squares (SOS) optimization.Firstly, an H∞ performance criteria of polynomial fuzzy systems was proposed by using Lyapunov approach and SOS decomposition.Then, the sufficient conditions for the existence of state feedback H∞ controller were derived in terms of SOS based on the proposed performance criteria.Furthermore, the optimal H∞ controller design problem was converted into a parameter optimization problem with SOS constraints.Both theoretical and numerical simulation demonstrated the effectiveness of the proposed design approach.