This paper presents a novel robust stability criterion for uncertain Lur'e systems with time-varying delay. The approach involves decomposing the delay interval into two unequal subintervals and constructing a delay-segmentation-based augmented Lyapunov-Krasovskii functional. This functional ensures piecewise continuity at the segmentation point and allows for the use of different Lyapunov matrices in each subinterval, reducing conservatism and improving the accuracy of absolute stability assessment. The method is validated through a numerical example, demonstrating its effectiveness in enhancing the stability of Lur'e systems with time-varying delay. The proposed approach offers a more refined and less conservative stability criterion compared to existing methods, particularly in handling time-varying delays. The results show that the delay-segmentation approach can significantly improve the maximum allowable delay bound (MADB) for such systems. The study also highlights the importance of optimizing the segmentation point parameter α to achieve the best performance. The methodology is extended to handle systems with parameter uncertainties, further enhancing its applicability and robustness. The findings contribute to the ongoing research on the stability analysis of nonlinear systems with time delays.This paper presents a novel robust stability criterion for uncertain Lur'e systems with time-varying delay. The approach involves decomposing the delay interval into two unequal subintervals and constructing a delay-segmentation-based augmented Lyapunov-Krasovskii functional. This functional ensures piecewise continuity at the segmentation point and allows for the use of different Lyapunov matrices in each subinterval, reducing conservatism and improving the accuracy of absolute stability assessment. The method is validated through a numerical example, demonstrating its effectiveness in enhancing the stability of Lur'e systems with time-varying delay. The proposed approach offers a more refined and less conservative stability criterion compared to existing methods, particularly in handling time-varying delays. The results show that the delay-segmentation approach can significantly improve the maximum allowable delay bound (MADB) for such systems. The study also highlights the importance of optimizing the segmentation point parameter α to achieve the best performance. The methodology is extended to handle systems with parameter uncertainties, further enhancing its applicability and robustness. The findings contribute to the ongoing research on the stability analysis of nonlinear systems with time delays.