Mr Smith took over as head chef in 2013 and the restaurant soon earned the prestigious culinary award.
However, the restaurant will keep its star for next year in the 2020 Michelin Guide.
Lawrence Huggler, owner of Bohemia, said that Mr Smith would be returning to England in February.
He added: ‘Bohemia will be announcing its new head chef in January, who will take over the kitchen in February and will work to build on the amazing success Bohemia has enjoyed over the last 16 years, including holding a Michelin star for 15 of those years.
‘Bohemia is the only restaurant in Jersey to hold a Michelin star and the only restaurant in the Channel Islands to hold five AA rosettes.’
Bohemia earned the latter accolade in 2017, putting it among the 15 highest-rated restaurants in the UK.
In the 2013 and 2014 Michelin Guides, Jersey had four restaurants which held a coveted star – a fact that was widely used to market the Island as a food destination, including the introduction of specialist travel packages incorporating visits to each restaurant.
Tassili at Grand Jersey lost its star in 2015, followed by Ocean at the Atlantic Hotel in 2017.
And this year Samphire, formerly Ormer, did not retain its star.
