Published: 2019-07-09 23:48:05 BdST
Ross Taylor was batting on 67 with Tom Latham on three at the other end when rain forced the players off.
Match officials waited for more than four hours while rain stopped and started before deciding to take the game to the rest day.
The group match between 2015 finalists New Zealand and twice champions India last month was one of the four 'no-result' matches in the rain-hit tournament.
Hosts England play defending champions Australia in the second semi-final on Thursday.