In this paper, we deal with the concentration of positive solutions for the fractional Schrödinger-Poisson system involving a logarithmic nonlinearity given in the form \(\begin{aligned} {\left\{ \begin{array}{ll} \varepsilon ^{2s}\left( -\Delta \right) ^{s} u+V(x)u-\phi u= u \log {u^{2}}& \text {in }\mathbb {R}^{3},\\ \varepsilon ^{2t}\left( -\Delta \right) ^{t}\phi =u^{2}& \text {in }\mathbb {R}^{3}, \end{array}\right. } \end{aligned}\) where \(\varepsilon >0\) is a small parameter, \(s, t \in (0,1)\) satisfy \(4s+2t > 3\) , \(\left( -\Delta \right) ^{\nu }\) , with \(\nu \in \{s,t\}\) , is the fractional Laplace operator, and the potential V is continuous satisfying only a local condition. By applying suitable variational arguments, we analyze the existence and concentration behavior of solutions as \(\varepsilon \rightarrow 0\) for the above problem.
