Daryl Mitchell bludgeoned a rapid unbeaten half-century before New Zealand's brilliant spinners consigned India to a 21-run defeat in the first T20I of a three-match series.
India condemned the Black Caps to a 3-0 ODI whitewash this week, but the tourists claimed their first victory of the tour in impressive fashion at JSCA International Stadium Complex on Friday.
Conway (52 from 35 balls) and Finn Allen (35 from 23) got New Zealand off to a flying start after they were put in by Hardik Pandya in Ranchi.
Washington Sundar (2-22) and Kuldeep Yadav (1-20) contained the Black Caps, but Mitchell provided the fireworks to get them up to 176-6 by scoring 59 not out from only 30 deliveries.
He took 27 off a nightmare final over from Arshdeep Singh, hitting three consecutive sixes to silence an expectant crowd.
India were in deep trouble on 15-3 in the fourth over of the run chase, Ishan Kishan bowled by a peach of a delivery from Michael Bracewell before Rahul Tripathi and the in-form Shubman Gill fell cheaply.
Newly crowned ICC T20I player of the year Suryakumar Yadav gave India hope with a classy 47, but he was on his way after holing out to Allen when trying to launch Ish Sodhi into the stands.
Stand-in captain Mitchell Santner (2-11) and Bracewell (2-31) bowled beautifully, while Lockie Ferguson (2-33) and Jacob Duffy (1-27) also made their mark as a maiden T20I half-century from Sundar (50no off 28) was in vain with India restricted to 155-9.
It was just a second win in 12 matches against India in the shortest format, giving New Zealand – without the likes of Kane Williamson, Tim Southee and Trent Boult – a 1-0 lead in the series.
Consistent Conway and Mitchell give Black Caps upper hand
Conway has been a revelation in all formats for the Blacks Caps since making his debut in 2020, and he continues to churn out the runs.
He laid the foundations for an imposing total with a ninth T20I half-century, finding the rope seven times and clearing it once before being dismissed by Arshdeep in the 18th over.
Mitchell then took centre stage, taking Arshdeep's bowling apart with final-over fireworks as he hit five sixes in all to register a fourth T20I half-century and give New Zealand the momentum.
New Zealand spin in to win it
The New Zealand spinners were outstanding, generating sharp turn and giving little away.
Bracewell set the standard, cleaning up Kishan with a brilliant delivery that pitched around middle and struck the left-hander's off stump.
Skipper Santner bowled 18 dot balls, while he saw the back of Gill – superb in the ODI series – and had Deepak Hooda stumped before running out Shivam Mavi with a direct hit.