The Allardyce Range is a mountain range rising south of Cumberland Bay and dominating the central part of South Georgia, a UK overseas territory. Mount Paget (2,935m) is the highest peak of the range and also the highest point in the UK territory. Other peaks of the range include Mount Roots.

Although not shown on the charts of South Georgia by Cook in 1775 or Bellingshausen in 1819, peaks of this range were doubtless seen by those explorers. Named in about 1915, for Sir William L. Allardyce, Governor of the Falkland Islands, 1904-14.