Match referee David Boon imposed the fine after Preston Mommsen's side were ruled to be one over short of their target in Thursday's match at Dunedin's University Oval.
Mommsen was fined 20 per cent of his match fee, while his players received 10 per cent fines.
If the Scotland captain is found guilty of one more minor over-rate offence during the World Cup, he will receive a one-match suspension.
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