Resuming the day at 39/2, the visitors were off to a safe start as they did not lose a single wicket in the morning session. It was Rory Burns (101) and Joe Root who kept the Kiwi bowlers at bay and the duo shared a crucial 171 runs for the fourth wicket.
Enroute of the stand, Burns also notched up his century in 208 deliveries.
Burns, however, failed to expand his knock as the Kiwis came with a much needed breakthrough in the 74th over as the England opener had to depart following a run-out, reducing England to 201/3.
Root was then joined by Ben Stokes (26) and the duo shared a short 44-run partnership for the fourth wicket. However, the partnership couldn't last long as Tim Southee packed back the latter in the 92nd over.
Incoming batsman Zak Crawley (1) also fell soon as Neil Wagner accounted for his wicket as England were reduced to 262/5.
Just when England were at 269, rains played spoilsport as the day was called-off early.
Earlier, the Kiwis rode on opener Tom Latham's ton followed by half-centuries of Ross Taylor (53), BJ Watling (55) and Daryl Mitchell (73) to post 375 in their first innings.
For the visitors, Stuart Broad picked up four wickets conceding 73 runs while Chris Woakes scalped three for 83 runs.
Brief scores: England 269/5 in 99.4 overs (Joe Root 114 batting, Rory Burns 101; Tim Southee 2/63) trail by 106 runs vs New Zealand 375 all out (Tom Latham 105, Daryl Mitchell 73; Stuart Broad 4/73)
( With inputs from IANS )