According to a report in the Courier Mail, the players complained that they were taunted as "faggots" during the first Test in Brisbane.
Kiwi fast bowler Iain O''Brien has described the Brisbane crowd as "embarrassing" and claimed the Black Caps were subjected to repeated and systematic abuse at the Gabba.
"I don''t know how many times I was called a ''faggot''," O''Brien wrote on his personal blog.
"You get called anything and everything. Embarrassing for these guys really, as a lot of the others around them are cringeing. The crowds here are pretty good, ruined by a few - actually quite a few - idiots who think a day out at the cricket is just to abuse the guys playing, any way how," he added.
Cricket Australia and ground security officers will now have to keep an extra close eye on fans to avoid a repeat in Adelaide for the second Test against New Zealand starting on Friday.
The Gabba has been a flashpoint for crowd trouble in the past, such as in 2003 when Sri Lankan off-spinner Muttiah Muralitharan was taunted by the crowd with relentless chants of "monkey" and "f... off, chucker".
In 2006, South African players Makhaya Ntini, Garnett Kruger, Herschelle Gibbs and Ashwell Prince claimed they were taunted with racial gibes while warming up at the Gabba.
Australian grounds have been repeatedly warned they could be stripped of their international status if foul-mouthed outbursts continue to flare.
Test and one-day international venues around the country are on notice from the International Cricket Council, which has passed hardline laws giving it the power to ban any troublesome venue.