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In this paper, we study the uniqueness of the differential-difference ofmeromorphic functions. We prove the following result: Let $f$ be a nonconstantmeromorphic function of $\rho_{2}(f)<1$, let $\eta$ be a non-zero complexnumber, $n\geq1, k\geq0$ two integers and let $a\not\equiv0,\infty$ be a smallfunction of $f$. If $f$ and $(\Delta_{\eta}^{n}f)^{(k)}$ share $0,\infty$ CMand share $a$ IM, then $f\equiv(\Delta_{\eta}^{n}f)^{(k)}$, which use acompletely different method to improve some results due to Chen-Xu [1].

Uniqueness on Meromorphic function concerning their differential-difference operators