Rogan, the son of two-Michelin-star-winning Simon Rogan of L'Enclume, Roganic and Aulis, brings 12 years of experience to the role, including at revered sites Manchester House; L'Enclume in Cartmel, Cumbria; and Fera at Claridge's, London.
His most recent post saw him work at the Grand hotel in York where he served as head chef, regaining the site's three AA rosettes.
He will now work to offer tailored experience for diners while creating distinct offerings for the hotel's restaurant and bar with a focus on local seasonal ingredients.
Andrew Creese, general manager, said: "We're delighted to welcome Craig to the team here at Dakota Leeds. His experimental energy and creative flair will bring a fresh outlook and new ideas to our dining experiences.
"We knew we wanted Craig to work for us as soon as we met him; he puts his own twist on the latest gastronomic trends meaning that we can really present one-of-a-kind experiences for guests and help lead the restaurant to even greater culinary heights."
Rogan added: "I've lived in Leeds for a while and have admired Dakota Leeds for some time, so this was an opportunity not to be missed. I'm excited to get started on putting the new plans in place and introduce some exciting menu changes, while respecting those aspects that guests admire about the hotel and restaurant."