The England world cup squad relocated to Queenstown after Saturday's tense but unconvincing win over Argentina in Dunedin and have been photographed leaping off the 134m Nevis bungy.
Members of the squad had also gone jet-boating and whitewater rafting, UK newspaper the Daily Telegraph reported.
The activities have drawn criticism from former England coach Dick Best who told the Telegraph he was "surprised" the players had been allowed to take part in extreme sports.
"I'm not party to what it says in their individual contracts, but I know that in certain contracts, players are banned from taking part in any sports like that."
The Telegraph also quoted engineering professor Dr Mike Clifford who said bungy jumping carried a high risk.
"If you think about the speed that these jumpers are are going at, if they come across that rope on the way down they can break a bone in a really nasty way that could end a sports professionals career."
England forwards coach John Wells said the idea was to give the players a break to keep them fresh.
Several players went on Twitter to say how much they had enjoyed themselves, with Ben Foden tweeting "Love Queenstown!"
