This paper focuses on the state feedback control for uncertain nonlinear model, which can be denoted by Takagi - Sugeno (T-S) fuzzy model. We derive an improved integral inequality as a rearrangement of quadratic matrix-vector form combined with Jensen's inequality. By using this improved inequality, the sufficient conditions guaranteeing the stability of the resulting T-S fuzzy model have been proposed in terms of linear matrix inequalities. With respect to these stability conditions, the stabilization criterion is given for the T-S fuzzy systems with the prescribed control gain matrices. Finally, to check the feasibility and less conservatism of the derived results, numerical examples are given including the physical model such as continuous stirred tank reactor ( CSTR ) model supported by numerical simulations.