In the paper, we study the uniqueness of entire functions concerning certain nonlinear differential polynomials sharing one value and obtain two theorems which improve and supplement the related results due to X. Y. Zhang, J. F. Chen and W. C. Lin [Comput. Math. Appl., 56(2008), 1876-1883] and J. F. Chen, X. Y. Zhang, W. C. Lin and S. J. Chen [Comput. Math. Appl., 56(2008), 3000-3014].