Shaw has spent more than a decade with the over-50s specialist – joining in March 2010 to head its cruise division. He was named chief executive of Saga Travel in January 2018.
Before joining Saga, Shaw had held a series of senior travel industry roles with Avis Europe and Royal Caribbean Cruises Ltd.
Saga Group chief executive Euan Sutherland said: “I wish to thank Robin for his contribution to Saga over the past 10 years. Under his leadership, Saga has developed a unique, boutique cruising offer that has really put us on the map in a competitive industry.