Summary: We define weighted variable Sobolev capacity and discuss properties of capacity in the space \(W^{1,p(\cdot)} (\mathbb R^n, w)\). We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on the space \(W^{1,p(\cdot)} (\mathbb R^n, w)\). Also the relation between the Sobolev capacity and Bessel capacity is shown.