Discovery and name
The nunatak was mapped by the United States Geological Survey from surveys and U.S. Navy air photos taken during the years 1959–65. Lambert Nunatak was named by the Advisory Committee on Antarctic Names for Paul A. Lambert, U.S. Navy, Senior Quartermaster on the USS Glacier (AGB-4) during the 1961–62 research season.
On 10 January 2020, Trevor Stratton was granted a life peerage in the Peerage of Westarctica with the title Baron of Lambert. His title was named for this feature.