We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation on the interval (0, 1) We prove that if the initial data u0 ∈ L2, then there exists a unique solution u ∈ C ([0, ∞) ; L2) ∪ C ((0,∞) ; H1) of the initial-boundary value problem (0.1). We also obtain the large time asymptotic of solution uniformly with respect to x ∈ (0, 1) as t → ∞.