The Nuns Veil is set in the Liebig Range of the Southern Alps and is situated in the Canterbury Region of South Island.

Topographic relief is significant as the summit rises 2,034 metres (6,673 feet) above Tasman Lake in 4.4 kilometres.

[2] The first ascent of the summit was made on 4 December 1907 by Peter Graham, Mick Collett, and Alistair Mackay.

[6] Other landforms in the immediate vicinity which also fit the Christian naming theme include: The Acolyte, Mount Biretta, Monastery Peak, Monk Glacier, Abbey Pass, The Abbot, and The Abbess.

The months of December through February offer the most favourable weather for viewing or climbing this peak.