New Zealand are 260 for seven in their first innings, 29 runs behind Bangladesh's 289.
The umpires waited until the scheduled start of the post-tea session before calling play off for the day as the rain showed no sign of clearing up.
Fine weather is forecast for the remaining two days and play will start 30 minutes early at 10.30am on Monday (2130 GMT Sunday.
Disclaimer: No Business Standard Journalist was involved in creation of this content