Abstract: The shallow water equations with source term have steady-state solution. The numerical scheme for solving this kind of equations must have well-balanced property, otherwise it will cause oscillation. For the bottom-non-flat shallow water with source term, this paper studies the well-balanced property of the high order compact central weighted essentially non-oscillatory (CCWENO) entropy stable scheme, and proves its well-balanced property. The theory is verified by one- and two-dimensional numerical examples. The numerical results show that the high order CCWENO scheme has the well-balanced property and can accurately capture the small perturbation of the solution even based on the coarse grid.