This paper investigates the problem of robust performance analysis for Lurie nonlinear control system with parameter uncertainties and interval time-varying delays. Based on an augmented Lyapunov-Krasovskii functional including multiple integral terms, new delay-dependent robust stability criteria are derived by proposing a novel secondary delay-partition approach. Moreover, to obtain less conservative stability conditions, an optimized integral inequality is developed by introducing an adjustable parameter sigma(1). Finally, 5 numerical simulation examples are given to illustrate the effectiveness and advantages of the proposed results.