In this paper, we study the following fractional Schrödinger–Poisson system with superlinear terms \t\t\t{(−Δ)su+V(x)u+K(x)ϕu=f(x,u),x∈R3,(−Δ)tϕ=K(x)u2,x∈R3,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ \\textstyle\\begin{cases} (-\\Delta )^{s}u+V(x)u+K(x)\\phi u=f(x,u), & x \\in \\mathbb{R}^{3}, \\\\ (-\\Delta )^{t}\\phi =K(x)u^{2}, & x \\in \\mathbb{R}^{3}, \\end{cases} $$\\end{document} where s,tin (0,1), 4s+2t>3. Under certain assumptions of external potential V(x), nonnegative density charge K(x) and superlinear term f(x,u), using the symmetric mountain pass theorem, we obtain the existence and multiplicity of non-trivial solutions.