Skovgaard is a surname meaning "forest farm". Notable people with the surname include:
Andreas Skovgaard, Danish footballer Anne Skovgaard, see Anne Statt (1955–2024), English-Danish badminton player Axel Skovgaard, Danish violinist Christian John Skovgaard, Danish badminton player Georgia Skovgaard (1828–1868), Danish embroiderer Irene Skovgaard, Danish author and composer Joakim Skovgaard, Danish painter Niels Skovgaard, Danish painter and sculptor P. C. Skovgaard, Danish painter Steen Skovgaard, Danish badminton player Suzette Skovgaard, see Suzette Holten, Danish painter