The Silverlake Stadium surface was deemed unfit after an 11:30 inspection on Friday.
It is the second successive home game Eastleigh have had postponed after their fixture against Bromley also succumbed to the weather.
No new date has yet been arranged for the fixture. Eastleigh are currently fifth in the league, Barrow 16th.
Eastleigh's National League game at home to Barrow has been postponed after failing a pitch inspection.