Cairns was reportedly punched during the incident
All rounder Chris Cairns and Brendon McCullum have been fined by Cricket New Zealand (CNZ) for their behaviour in a Durban nightclub last week.
The two were among a group of 11 Blacks Caps involved in a brawl, which was sparked by a rendition of the haka war cry.
NZC chief executive Martin Snedden said in a statement that team
protocols and procedures were inadequate.
"Behaviour exhibited by some of the players at the Tiger Tiger
nightclub was unacceptable and should not be allowed either by
the players or team management to reoccur."
Snedden said Cairns and McCullum admitted misconduct and have apologised.
They have each been fined NZ$500 (£178).
The other players at the club, including captain Stephen Fleming, were reprimanded
"The players as a whole have been reminded of their responsibilities to act professionally off the field," Snedden added.
Most of the squad was present other than Nathan Astle, Chris
Harris, Mathew Sinclair and Shane Bond.
The incident proved severely embarrassing for the New Zealand authorities as it occurred when the Black Caps should have been playing their boycotted match in Kenya.