Offices at Sullivan-Independence Hall and old Town Hall were scheduled to close an hour early Tuesday at 3:30 p.m. because of the snow, according to the first selectman's office.
However, essential municipal personnel, such as police, fire and public works crews, will remain on duty.
In addition, most town meetings scheduled for tonight have been cancelled.
School officials also decided to postpone the special Board of Education meeting on the budget to an as-yet-determined date.
Both branches of the Fairfield Public Library are scheduled to close at 4 p.m.