Skipper Kane Williamson pleaded guilty and was fined 20% of his match fees while his team mates were handed 10% fines in accordance with article 2.22 of the ICC's Code of Conduct, the governing body said in a statement.
"If New Zealand commit another minor over-rate breach during the tournament with Williamson in the side, it will be deemed a second offence by him and he will face a suspension," the ICC statement added.
New Zealand moved to the brink of securing a spot in the World Cup semi-finals with a thrilling five-run victory over West Indies.
New Zealand take on Pakistan at Edgbaston on Wednesday.
(Reporting by Shubham Kalia in Bengaluru, editing by Pritha Sarkar)
