We present an analysis of the spatial orientations of galaxies in the 247 optically selected rich Abell clusters, having in the considered area at least 100 members. We investigated the relation between angles giving information about galaxy angular momenta and the number of members in each structure. The position angles of the galaxy major axes, as well as two angles describing the spatial orientation of galaxy plane were tested for isotropy, by applying three different statistical tests. It is found that the values of statistics increase with the amount of galaxies' members, which is equivalent to the existence of the relation between anisotropy and number of galaxies in cluster. The search for connection between the galaxies alignments and Bautz - Morgan morphological types of examined clusters gave weak dependence. The statistically marginal relation between velocity dispersion and cluster richness was observed. In addition, it was found that the velocity dispersion decreases with Bautz - Morgan type at almost 3$��$ level. These results shows the dependence of alignments with respect to clusters' richness, which can be regarded as environmental effect.

APJ accepted, 41 pages, 5 figures, 4 tables