Heavy overnight rain water-logged the Ruhul Amin stadium and the groundstaff strugged in overcast conditions to dry the field.
Match referee Roshan Mahanama was to inspect the conditions again at 12 noon local time(0600 GMT) before taking a final decision on the fate of the game.
The two teams chose to remain in their hotel till the weather cleared.
The match holds only academic interest after India won the first two matches in Dhaka last week to take a decisive 2-0 series lead.
India and Bangladesh are also due to play a two-Test series with the first Test scheduled to begin here on Friday.