Mark Craig (43) and BJ Watling (39) added an invaluable 68 for the seveth wicket to help New Zealand revive from a faltering 295-6. At the interval, Ish Sodhi was 12 not out and Tim Southee was batting on nine.
Watling defied the Pakistan bowling during his two-hour vigil, hitting three boundaries before he gave a catch off part-timer Azhar Ali.
Craig, who hit five boundaries, was trapped leg-before by Zulfiqar Babar who had figures of 2-126.
Craig benefitted from a dropped catch on nine when Rahat Ali failed to take a simple catch at mid-on off leg-spinner Yasrir Shah.
Earlier, resuming on a strong 243-3 New Zealand lost both their overnight batsmen Corey Anderson and Tom Latham in the space of two runs.
Seamer Ehsan Adil (2-69) had Anderson caught in the covers before fellow new-ball partner Rahat had Latham caught behind. Latham, who scored 103 in New Zealand's 248-run defeat in the first Test in Abu Dhabi, fell in the next over as he edged a ball from Rahat to wicket-keeper Sarfraz Ahmed.
Latham failed to add to his overnight score of 137. He batted for 394 minutes and hit 11 fours and a six.
Jimmy Neesham added 33 for the sixth wicket with Watling before he miscued a drive off Shah and was caught at short mid-wicket by Misbah-ul Haq for 17.
Shah also has 2-89 while Rahat has figures of 1-64.
Pakistan lead the three-match series 1-0.