Leitgeb is a German surname. Notable people with the surname include:
Christoph Leitgeb (born 1985), Austrian footballer Hannes Leitgeb (born 1972), Austrian philosopher and mathematician Hubert Leitgeb (biathlete) (1965–2012), Italian biathlete Hubert Leitgeb (botanist), (1835–1888), Austrian botanist Mario Leitgeb (born 1988), Austrian footballer