Abstract The field dependence of the critical current measured on [Nb/Ti] ∗10 multilayers up to 0.6 T is considered. The thickness of the Nb sublayers was varied between 5 and 8 nm. The titanium sublayers were 5 nm thick. When the multilayers are placed in a parallel field, a non-monotonic dependence of the critical current density with two local minima is found, which is explained in terms of the commensurate-incommensurate phase transition. The fields at which the minima are found correspond to the occurence of one- or two-row commensurate vortex lattice inside the multilayer. The influence of the Lorentz force and the sharpness of the interfaces on the shape of the J c( B) curves is discussed.