The genus is only known by its type species, Tramuntanasaurus tiai, which was named in 2023 by Rafel Matamales-Andreu, Eudald Mujal, Àngel Galobart and Josep Fortuny, from an almost complete skeleton discovered in 2019.

The genus is named after the Serra de Tramuntana, the main mountain range of Mallorca, where the holotype was found, and from saurus, which means "lizard" in Latin.

It is distinctly triangular in dorsal view, where it shows a gradual narrowing towards its anterior end but without a sharp decrease in width in the snout area (unlike most moradisaurines).

[1] Comparison of the autopodia of the holotype of Tramuntanasaurus tiai with the different footprint morphotypes occurring in stratigraphically close strata allowed to assign it a specific ichnospecies.

[1] The holotype of Tramuntanasaurus was discovered at the Torrent de na Nadala 3 site located on the northwest coast of Mallorca near Banyalbufar.

More precisely, Mallorca was located on the eastern edge of this continent, at an equatorial latitude where, however, a tropical climate with two seasons (dry and wet) reigned.

[1] The Torren de na Nadala site also yielded the partial skeleton of an indeterminate gorgonopsian therapsid[3] as well as vertebrate tracks indicating the presence of non-therapsid synapsids (Caseidae, Sphenacodontidae, Edaphosauridae, Ophiacodontidae),[4][2] araeoscelidian diapsids or non-varanodontine Varanopidae,[2] a non-pareiasaur pareiasauromorpha (Nycteroleteridae),[2] and two distinct Moradisaurinae,[2] one of which probably corresponds to Tramuntanasaurus.

[2] A maxilla fragment of a much larger moradisaurine (estimated skull length between 17.7 and 26.4 cm (7.0 and 10.4 in)) is known from the site of Platja de son Bunyola.