In this paper, we study the following Schrödinger-Poisson equation with critical growth: \(\begin{aligned} \left\{ \begin{aligned}&-\Delta u + \mu V(x) u+ K(x)\phi u = \lambda h(x) f(u) + (u^+)^5,\ \ \ \ \textrm{in } \ \ \ \ {\mathbb {R}}^3,\\&-\Delta \phi =K(x)u^2, \ \ \ \ \textrm{in } \ \ \ \ {\mathbb {R}}^3, \end{aligned}\right. \end{aligned}\) where \(\mu \) , \(\lambda >0\) are large parameters, the potential V is non-negative, decays to zero at infinity, or there are no restrictions on V at infinity. When \(\textrm{int}V^{-1}(0)\) possesses multiple disjoint bounded components, by developing some techniques in variational methods, we prove the existence of multi-bump solutions for \(\mu >0\) large and the concentration behavior of multi-bump solutions as \(\mu \rightarrow +\infty \) .
