Following overnight rain and the removal of snow from the York Street pitch, referee Tony Leake declared it waterlogged at a 9am inspection.
Elsewhere in Division Three, Bristol Rovers v Huddersfield, Bury v Southend, Cambridge v Carlisle, Mansfield v Swansea and York v Lincoln also succumbed to waterlogged pitches.
Tickets purchased for the Boston game will be valid for the re-arranged fixture or a refund is likely to be available. No date has been set for the match to be switched to as yet.
Meanwhile, tickets have sold out for the England v Holland Under-21 game at the KC Stadium on 17th February.