Let \(b\in L_{\textrm{loc}}^1({\mathbb {R}}^n)\) . In the present paper, we are concerned on the maximal Calderón commutator which is defined by \(\begin{aligned} {\mathcal {C}}_\Omega ^* f (x)=\sup _{\varepsilon>0}\bigg |\int _{|x-y|>\epsilon }\left( \frac{\Omega (x-y)}{|x-y|^{n+1}}\right) \big (b(x)-b(y)\big )f(y)dy\bigg |, \end{aligned}\) which plays an important role in the almost every convergence of the Calderón commutator proposed by Calderón. In this paper, we obtain the necessary and sufficient conditions on the function b to guarantee that \({\mathcal {C}}_\Omega ^*\) is a bounded operator on \(L^p(w)\) for \(1<p<\infty \) and \(w\in A_p.\)
