The flower buds are arranged in groups of seven, nine or eleven on a flattened, often downturned peduncle 25–50 mm (0.98–2.0 in) long.

[1][3][4][5] Eucalyptus burdettiana was first formally described by William Blakely and Henry Steedman in 1939 and the description was published in Contributions from the New South Wales National Herbarium from specimens collected by Steedman on stony outcrops of Mount Barren near Hopetoun in 1938.

[6] The specific epithet (burdettiana) honours William Burdett (1871-1940) who was a friend of Henry Steedman.

[4] Burdett gum is found on quartzite ridges and rocky areas of the Barren Range in the Fitzgerald River National Park where it grows in sandy soils.

[1] This eucalypt is classified as "endangered" under the Australian Government Environment Protection and Biodiversity Conservation Act 1999 and as "Threatened Flora (Declared Rare Flora — Extant)" by the Department of Environment and Conservation (Western Australia).