Jan Gerrit van Gelder (Alkmaar, February 27, 1903 – Utrecht, December 9, 1980) was a Dutch art historian.
Van Gelder was the son of the archivist and museum director, Hendrik Enno van Gelder. He grew up in The Hague. In 1923, he began studying art history at the University of Utrecht. In 1924 he was appointed by the Museum Boijmans Van Beuningen in Rotterdam, where he worked as an assistant and later as curator in the print room and the library. In 1933, he completed his Ph.D. dissertation under Willem Vogelsang on Jan van de Velde. In 1936, he was appointed lecturer in art history at Leiden University and in 1940 acting director of the Netherlands Institute for Art History in The Hague. From 1945 on, Van Gelder was director of the Mauritshuis. In the same year, he succeeded Hans Schneider as director of Netherlands Institute for Art History. In 1946 he was appointed professor of art history at the University of Utrecht.
In 1947, he created the art historical magazine, Nederlands Kunsthistorisch Jaarboek, and in 1966, Simiolus. He was also an active member of the editorial board of Oud Holland and a regular contributor to The Burlington Magazine and many other art historical journals.
In 1951 he became a member of the Royal Netherlands Academy of Arts and Sciences. He was also a member of the Fondation Custodia and the Institut Néerlandais, both in Paris, and the Istituto Universitario Olandese di Storia dell'Arte in Florence.