The England captain was fined 20 per cent of his match fee, with the other England players fined 10 per cent of their match fees.
Cook would face a ban if England repeats the offence in one-day international cricket during the next 12 months.
The first one-day international at Bristol was abandoned without any play because of rain.
Meanwhile, Cook has called Graeme Swann a “so-called friend” after the former England spinner called for him to quit as captain for the World Cup.
But Cook said: “I don’t think it’s that helpful, especially from a so-called friend.”
Swann said Cook’s one-day strike rate – currently at 77.98 runs per 100 balls – does not set the tone that will make England competitive in next year’s World Cup in New Zealand and Australia.