Composite films consisting of metal inclusions of various shapes embedded into a dielectric matrix were created by computer experiments using a brand-new model. Obtained structures were analyzed as concerns the correlation between morphological and transport properties (the percolation threshold). It was found that the inclusion shapes (ellipsoids) and inclusion arrangements (columnar structures) influence the percolation threshold in such a way that (i) the more different the shapes from spheres are, and (ii) the more random the structures is the lower value of the percolation threshold one can expect. (C) 2011 Elsevier B.V. All rights reserved.