In this paper, we give some results on entire functions that share one value with their difference operators. In particular, we prove the following result, which can be regarded as a difference analogue of a result of J.P. Wang and H.X. Yi (J. Math. Anal. Appl. 277:155-163, 2003): Let f (z) be a non-constant entire function such that ρ 2 (f ) < 1, a( = 0) be a finite constant, and n and m be positive integers satisfying