In the paper, the morphology of discontinuous metal films with irregular islands and of semicontinuous metal films is studied by the combination of computer experiment and analysis of film micrographs. In order to determine the physical interpretation of derived morphological characteristics, four models in two modifications for both discontinuous and semicontinuous metal films were prepared. These models were analysed by the standard morphological algorithms for description of spatial distribution of objects and the physical meaning of these characteristics for irregular objects was discussed. It was found that although the sensitivity of methods used decreases with increasing film thickness, the covariance method is the most promising of them.