Lindhard Island was visited and explored on March 26, 1913, by the 1912–13 Danish Expedition to Queen Louise Land and Across the North Greenland Ice Sheet led by J.P.

[2] Koch named the island after Johannes Lindhard (1870–1947), the doctor on the 1906–1908 Danmark Expedition.

[2] Bag Fjord is formed between the Bredebrae glacier and the north-west corner of Lindhard Island, 76°37′N 22°16′W / 76.617°N 22.267°W / 76.617; -22.267.

The island lies at the western edge of Dove Bay, east of the Bredebrae, the broad glacier producing masses of large icebergs, at the head of Borg Fjord to the north of the island.

The Bredebrae is formed by the confluence of two large glaciers east of Queen Louise Land, the Storstrommen flowing from the north and the L. Bistrup Brae from the south.