In the paper we study the uniqueness of entire functions sharing a linear polynomial with linear differential polynomials generated by them. The results of the paper improves the corresponding results of P. Li (Kodai Math J. 22: 446–457, 1999), Lahiri-Present author(G. K. Ghosh) (Analysis (Munich)31: 331–340,2011) and Lahiri-Mukherjee(Bull. Aust. Math. Soc. 85: 295–306, 2012).