Sent in to bat first, Zimbabwe scored 137 runs for the loss of six wickets in 28.1 overs before the play was halted due to rain with number three batsman T Tarumani scoring 31, Milton Shumba 28 and Emmanuel Bawa 27 runs.
Earlier, Zimbabwe made a good start scoring 68 in 11 overs for the loss of two wickets
Tanzim Hasan Sakib, Shoriful Islam, Mrittunjoy Chowdhury, Shamim Hossain and Rakibul Hasan took one wicket each for the young Tigers.
In reply, Bangladesh’s revised target was fixed at 130 runs in 22 overs and Bangladesh easily reached their target scoring 132 runs for the loss of one wicket in just 11.2 overs.
Opener Pervez Hossain Emon quick-fired unbeaten 58 runs off 33 balls featuring five fours and two sixes and was adjudged the man of the match.
Besides, opener Tanzid Hasan contributed 32 runs and Mahmudul Hasan Joy scored not out 38 runs for the young Tigers.
D Myers took lone wicket giving away 26 runs.
In the remaining Group C match, Bangladesh will face Scotland on January 21 and face Pakistan on January 24.