The recent members of the phylum Cnidaria were analyzed with phylogenetic methodology and the help of the PAUP Computer program. The Cnidaria are established as a monophylum by their cnidocysts, planula larva, and a polyp stage. The Ctenophora were seen as the most probable sister group of the Cnidaria. Arguments for the monophyly of the cnidarian classes Anthozoa, Scyphozoa, Cubozoa, and Hydrozoa were providea. For the ground plan of the Cnidaria the following characters were postulated: triphasic life cycle consisting of a planula larva, a benthic polyp stage, and a sexually propagating medusa like stage. For the polyp a radial symmetry, lack of septae, and hollow tentacles were assumed. The original medusa probably was tetraradial and developed from the polyp stage by a total metamorphosis. Twelve polarized characters were used to generate cladograms. The most parsimonious one showed the Anthozoa as the first offshoot of the tree with the united Scyphozoa, Cubozoa and Hydrozoa forming its sister group. Within this sister group the Scyphozoa and Cubozoa were seen as sistergroups to each other. Both groups united are then the sistergroup of the Hydrozoa. A bootstrap analysis yielded the same tree with high probabilities for the internal nodes. Despite assuming a planktonic origin of the Cnidaria in this investigation, the resulting cladogram is also compatible with an evolution of the medusa stage within the Cnidaria after the splitting-off of the Anthozoa. The possible loss of the medusa stage in the Anthozoa is discussed.