He first came to the Rijksmuseum Amsterdam as a junior staff member in 1995. From 1997 to 2002, he was a director in the Old Master Paintings Department at Christie's, London. He returned to the Rijksmuseum as curator of 17th-century painting in 2002. In recent years, as head of the department of Fine and Decorative Arts, he has led a team of curators of paintings, sculpture, applied art and Asiatic art at the Rijksmuseum. He was instrumental in many of the museum's acquisitions, including Jan Steen’s remarkable Burgomaster of Delft and Gerrit Berckheyde's View of the Herengracht, Amsterdam, and was closely involved in the successful Rembrandt-Caravaggio exhibition of 2006 as well as the Late Rembrandt exhibition of 2015. Since 2002 Dibbits has played an important role in developing the layout of the renewed Rijksmuseum. He is currently Director of the Rijksmuseum and will replace Wim Pijbes as General Director on 15 July 2016.
Taco Dibbits is also a contributing author to the books Dutch Drawings of the Seventeenth Century in the Rijksmuseum, Amsterdam : Artists Born Between 1580 and 1600 (1997), Rembrandt - Caravaggio (2006), and Dutch Paintings of the 17th Century in the Rijksmuseum, Amsterdam: Artists born between 1570 and 1600 (2008). He has also published on the drawings of Italian 16th-century artist Girolamo Muziano.