Bairstow could clearly be heard shouting “f*** off” in the aftermath of his seventh-over dismissal to Jimmy Neesham.
The batsman has been handed one demerit point under the ICC’s disciplinary code following a review of the incident, which took place during the tourists’ series-clinching Super Over win at Eden Park.
Bairstow struggled for runs in the series, but was pleased with his contribution in the deciding game, scoring 47 from just 18 deliveries.
It is the second time Bairstow has received such a sanction this year, having also picked up a demerit point for swinging his bat at the stumps during a one-day international against Pakistan in May.
The points remain on a player’s record for a period of two years, with a total of four points in that time enough to force a ban of one Test or two limited-overs games.
All-rounder will step in next week with Root missing the match to attend the birth of his second child.
The all-rounder left home county Yorkshire earlier this month.
No play was possible on the second morning of the intra-squad match.
Ben Stokes thinks his experience under the captaincy of Alastair Cook and Joe Root will help him succeed in the role himself.
Players had initially been held back.
Australia’s white ball captain Aaron Finch says he’s preparing for September’s tour of England to go ahead.
The West Indies batsman has struggled to live up to early promise.
The star all-rounder is preparing to deputise for father-to-be Joe Root against the West Indies.
This four-day match represents the last opportunity for selection for the first Test against England.