Tim Southee and Matt Henry removed both England openers as New Zealand reduced the tourists to 39-2 and took control of the second Test by the close of play on the second day at Seddon Park in Hamilton on Saturday.
New Zealand had been dismissed for 375 about an hour after tea and hold a 336-run lead heading into the third day of a match that England need to win to level the two-Test series.
Rory Burns was on 24 at the close of play, having survived two dropped catches, with captain Joe Root on six and looking uncomfortable at the crease as he battles with a precipitous drop in form over the last year.
Opening batsman Dom Sibley was trapped in front by Southee for four to leave the tourists 11-1.