David Warner completed a sharp catch at leg-slip to break the 72-run stand between BJ Watling and Tom Blundell.
Australia vs New Zealand: BJ Watling was well out of the frame when Tim Paine got the ball, but the Australia Test skipper fumbled the opportunity.
With only three days remaining England appeared to have little chance of building a big enough total to win the Test and square the series.
Neil Wagner claimed a five-wicket haul as New Zealand sealed a comprehensive innings and 65 runs victory over England late on the final day of the first Test.
BJ Watling scored a battling 205 and Santner added three second-innings wickets to his maiden Test century as New Zealand grabbed the advantage against England on Day 4.
New Zealand vs England: BJ Watling remained unbeaten on 119 on Day 3 of the first Test, helping New Zealand lead England by 41 runs.
At stumps on day three, New Zealand emerged on top thanks to the efforts of BJ Watling, who finished unbeaten on 63.
Yasir Shah began his 33rd Test needing five wickets to become the fastest man to reach the milestone of 200 Test wickets.
New Zealand recovered from 36 for five to be 192 for six in reply to England's 307.
At the close, New Zealand were finding batting difficult under lights and were 116 for five with a result looming on Sunday's third day in the scheduled five-day Test.
Pink ball will be used in a historic day-night Test between Australia and New Zealand next month.
BJ Watling's unbeaten century in the second innings of the Leeds Test has showcased the Kiwi batsmen's rather understated talent, once again.
BJ Watling's 100 not out guided New Zealand to 338/6, giving them a lead of 338 against England with two days left to play.
New Zealand all-rounder Corey Anderson injured his back during his side's 124-run first-Test loss at Lord's. BJ Watling injured his knee at Lord's.
Tim Southee (3/22 in 4 overs) and Trent Boult (2/12 in 4 overs) bowled a deadly opening spell of swing and seam bowling to decimate the top half within six overs with less than 20 runs on board.
At the end of the rain-abbreviated second day, in which only 63.1 of the scheduled 90 overs were bowled, the West Indies trailed New Zealand's first innings of 441 by 283.
The diminutive 39-year-old scored an impressive 89 as West Indies XI declared at 230/6
Bangladesh, who have lost eight and drawn one of their nine Tests against New Zealand, will need to match the rivals' huge total if they are to avoid defeat in the first game of the two-match series.