This paper deals with the following fractional [Formula: see text]-Choquard equation with exponential growth of the form: [Formula: see text] [Formula: see text] where [Formula: see text] [Formula: see text] is a parameter, [Formula: see text] and [Formula: see text] The nonlinear function [Formula: see text] has an exponential growth at infinity and the continuous potential function [Formula: see text] satisfies suitable natural conditions. With the help of the Ljusternik–Schnirelmann category theory and variational methods, the multiplicity and concentration of positive solutions are obtained for [Formula: see text] small enough. In a certain sense, we generalize some previously known results.