Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 02, pp. 1-12. Title: Monotonicity and uniqueness of traveling waves in bistable systems with delay Authors: Yun-Rui Yang (Lanzhou Jiaotong Univ., Gansu, China) Nai-Wei Liu (Yantai Univ., YanTai, Shandong, China) Abstract: This article establishes the monotonicity, uniqueness and Liapunov stability of traveling waves for bistable systems with delay. We use an elementary super-subsolution comparison method and a moving plane technique. Also an example is given to illustrate our results. Submitted June 27, 2013. Published January 03, 2014. Math Subject Classifications: 34K18, 37G10, 37G05. Key Words: Monotonicity; uniqueness; Lyapunov stability; traveling waves; super-sub solutions.