Let $\mathcal{B(X)}$ be the algebra of all bounded linear operators on a Banach space $\mathcal{X}$ with $ \dim \mathcal{X} \geq 2$. In this paper, we describe surjective maps $\phi: \mathcal{B(X)} \rightarrow \mathcal{B(X)}$ preserving the coincidence points of operators, i.e., $C(A,B)=C(\phi(A) ,\phi(B))$, for every $A,B \in \mathcal{B(X)}$, where $C(A,B)$ denotes the set of all coincidence points of two operators $A$ and $B$.
