The company confirmed that originally the garden was commissioned by The Daily Telegraph but the newspaper has pulled out of Chelsea.
The Telegraph has been cutting staff and some suggest cuts to the publication's budget could be behind the move.
Crocus has built gold medal winning gardens for The Telegraph since 2006, with 10 golds and five best in shows - including last year's for Andy Sturgeon's Telegraph garden.
A Telegraph representative said: "We have enjoyed a long and successful relationship with RHS Chelsea and with Crocus. We have won best in show a remarkable eight times. Our business objectives, however, are changing and the focus of our activity is shifting and we have taken the decision not to commission a garden in 2017. We are delighted to have finished on a high with our spectacular 2016 garden. We would like to thank Crocus for everything they have done for us and wish them every success."
The RHS said: "Sponsors of Show Gardens change year on year, some only sponsoring a garden for one or two years and some being involved with RHS Chelsea for longer. The Telegraph have been involved with RHS Chelsea for a number of years, creating many fabulous and incredible gardens at the show. After winning Best in Show again this year, the Telegraph have decided not to sponsor a Show Garden for the time being. We have enjoyed a long and supportive relationship with the Telegraph and will continue to work very closely with their editorial and marketing teams."
Another leading sponsor, Laurent Perrier, which won best in show for a Crocus-built garden in 2015, has stopped exhibiting with four best in shows and 12 golds to its name.
Meanwhile, designers including Andy Sturgeon, Diarmuid Gavin and Matthew Wilson have confirmed they will not be designing show gardens for Chelsea this year.
In the Great Pavilion plant marquee, trade body, the HTA, is planning an industry collaboration garden. Scotts is also planning a stand.
Burncoose Nurseries has had its design for a stand showcasing unusual plants and their ways of pollination accepted.
Raymond Evison's Guernsey Clematis is planning a Guernsey-style display with six feet high 'waves' and a sandy 'beach' base.