Captain Daniel Vettori said New Zealand must improve after he was forced into a fighting rearguard to stave off an embarrassing Test defeat to Bangladesh on Tuesday.
Vettori, named man of the match for his two half-centuries and nine wickets, said the tourists needed to do much better in the second Test at Dhaka.
"We were not at our best, that is some way off," he said. "We must show more improvement in the second Test."
Vettori said New Zealand were forced to turn it around after making only 171 in the first innings, which helped Bangladesh run up a daunting victory target of 317.
"I think we didn't bat well in the first innings. It was disappointing but the guys realised that it wasn't really acceptable and we must bat sensibly to improve our chances," said Vettori.
New Zealand reached the total with three wickets to spare, a record for the team away from home and thanks largely to Vettori's match-saving 76.
"I think it's always important for the captain to set the standards, I have always tried to do that and it's pleasing to have done well with both bat and ball," he said.
But Vettori said the escape would give New Zealand's young side added confidence for the second Test starting on October 25. Their previous biggest away chase was 164-4 against Australia in 1985.
"I am pleased with the effort, I mean chasing 317 with the Bangladesh team, having the momentum with (Abdur) Razzak and (Shakib Al) Hasan bowling well and if you look at the history New Zealand hadn't chased that well outside home," he said.
"Young guys like (Aaron) Redmond and (Daniel) Flynn playing their first Test, it's pleasing to make history and this will help us carry over the momentum in the next Test."
Redmond scored 79 including a valuable 45 for the third wicket with Vettori, while Flynn, who made 49, brought the tourists close to the victory through a 82-run sixth wicket stand with his captain.