In this paper Josephson junctions are used in order to generate n-scroll and n-scroll hypercube attractors. The design and realization of multi-scroll attractors depends on synthesizing the nonlinearity with an electrical circuit. Therefore we propose to use of the Josephson junction in a general jerk circuit in such a way that there is no need for synthesizing the nonlinearity towards chaotic n-scroll and hyperchaotic n-scroll hypercube attractors. The results are illustrated with computer simulations. (c) 2006 Elsevier Ltd. All rights reserved.