Phylogenetic analysis suggests the genus to be a basal member of the clade that includes today's rhinoceros and tapirs (collectively called Ceratomorpha).

[2] If the paraphyletic position is correct, Homogalax nests as more derived than most other isectolophids, with only Cardiolophus and Orientolophus, and a clade including Karagalax and Gandheralophus, being closer to the Ceratomorpha.

[2] Protorohippus venticolum Sifrhippus sandrae Chowliia laoshanensis Ampholophus luensis Meridiolophus expansus Isectolophus Homogalax Cardiolophus Orientolophus Karagalax mamikhelensis Gandheralophus Lophialetidae Tapiroidea Rhinocerotoidea Today, one species of the genus Homogalax is recognized: H. protapirinus (Wortman, 1896).

The short premaxilla, which rose steeply and came into contact with the nasal bone, was typical, which is not the case with today's Ceratomorpha (tapirids and rhinocerotids).

The ascending central jawbone formed the back of the interior of the nose, which is also unknown in today's odd-toed ungulates.

The occiput had a distinctly short shape, while the zygomatic arch hardly protruded outwards, instead running parallel to the skull.

A short, less than 1 cm long diastema occurred to the rear dentition only rarely; others could be observed between the last incisor and the canine as well as between the first two premolars.

The premolars themselves were completely unmolarized, meaning they did not resemble the molars, and only had a raised enamel cusp on the chewing surface.

Four-toed front and three-toed hind feet are typical of primitive odd-toed ungulates and are now only found in the tapirs.

This also includes the majority of known postcranial skeletal finds, such as individual long bones, a complete foot and hand skeleton and parts of the pelvis and shoulder blades.

Among other things, especially pronounced joint surfaces on the ankle bone ensured that the foot remained stable in the longitudinal direction and did not twist sideways at high walking speed.

A permanent running gait within the odd-toed ungulates is generally believed to be an ancient characteristic and is only practised today by the highly specialized horses.