Muniria quadrangulata is a flowering plant in the mint family Lamiaceae and is endemic to Arnhem Land in the Northern Territory.

The branches, leaves and some of the flower parts are covered with a thick, woolly layer of white hairs.

The leaves are oblong to egg-shaped, 4–8 cm (2–3 in) long, 15–25 mm (0.6–1 in) wide and have a wrinkled, blistered surface.

The petals are pale yellow, 14–25 mm (0.6–1 in) long and joined for most of their length to form a tube which is hairy on the outside but glabrous on the inside except for a narrow ring of hairs around the ovary.

[2][3] This species was first formally described in 1979 by Ahmad Abid Munir from a specimen collected south of Gunbalanya (formerly called Oenpelli).