Abildgaard is a Danish surname. Notable people with the surname include:
- Nicolai Abildgaard (1743–1809), Danish painter
- Oliver Abildgaard (born 1996), Danish footballer
- Ove Abildgaard [da] (1916–1990), Danish poet
- Peter Christian Abildgaard [da] (1740–1801), Danish physician and veterinarian
- Søren Abildgaard (1718–1791), Danish naturalist, writer and illustrator
- Theodor Abildgaard [nn] (1826–1884), one of the tenants of the thranite movement
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