Man-of-War The Portuguese man-of-war if a member of the Kingdom Animalia, phylum Cnidaria(1), class Hydrozoa, order Siphonophra, the genus Physalia, and the species Physalia(2). The man-of-war is not an actual jellyfish, but a Siphonophor. Also the man-of-war is not a single organism. It is made up of many different organisms that work together. These organisms are called polyps.