It stressed that the hospice itself remains open to patients.
The Boston Barrier Community Hub has also closed for the foreseeable future.
The trust said in a statement: "It is with regret that the Charity has made the decision to close its business function with effect 12 noon today (17th March 2020). This follows the most recent information presented by the UK Government.
"This closure will be case for the next 2 weeks and will be reviewed to determine whether an expected return to work date Wednesday 1st April is feasible.
"This applies to our Charity Offices and our retail operations across Boston, Spalding, Skegness, Louth and Wisbech. This is obviously a unique and challenging experience for us all and the decision made today, while hugely disappointing, is one made with full regard to the safety of everyone. We will continue to review the situation daily and please be assured that we will be in touch to advise of safer times to return to our charitable business.
"Please note that our Hospice (In Patient Unit) will remain open to our patients, under the fantastic care of our partner nursing team, Lincolnshire Community Health Service."