In this paper we investigate some results about semiprime rings $\mathbb{R}$ with a $2$-torsion-free and $\sigma$ and $\tau$ being automorphisms mappings of $\mathbb{R}$. Suppose that there exists a $(\sigma,\tau)$-derivation $d$ of $\mathbb{R}$. If $\mathbb{R}$ admits $d$ to satisfied some conditions, then $d$ is a commuting mapping of $\mathbb{R}$.