New Zealand defeated Pakistan by 47 runs in the first day-night worldwide in Abu Dhabi on Wednesday.
The left-arm bowler nipped out Fakhar Zaman, Babar Azam and Mohammad Hafeez to push the hosts behind the 8-ball.
Absent for the Black Caps' 3-0 Twenty20 series defeat, Boult's stunning opening spell inspired their 12th successive ODI victory over Pakistan stretching back to their last tour in 2014.
Taylor made 80, playing a big part in New Zealand's 47-run win.
Trent Bolt of New Zealand celebrates his hat-trick with assistance from Kane Williamson and Tim Southee.
The run-chase started on a horrendous note for the team as fast bowler Trent Boult ripped the heart out of their top-order with a hattrick in the third over, his second. "Not too many occasions I've been on a hat-trick in a one-day match".More news: Lakers sign Tyson Chandler
Umpires: Joe Wilson (WIS) and Shozab Raza (PAK). Replays showed he clearly missed it but Pakistan had used up their review and he was on his way at 85-6.
New Zealand´s Trent Boult bowls during the first one day worldwide (ODI) cricket match between Pakistan and New Zealand at the Sheikh Zayed Cricket Stadium in Abu Dhabi on November 7, 2018.
Williamson praised Pakistan as a limited over side. "There was no problem with Hafeez's action and [Taylor] was trying to create an issue without a reason", he said.
Hafeez has been banned from bowling four times during his career by the International Cricket Council, including three times in the past four years.
Pakistan skipper Sarfraz Ahmed exchanged some angry words with Taylor, before also complaining to umpires.More news: Bargains and special deals available on Amazon for Black Friday sale 2018
But once the Taylor-Latham fourth wicket standof 130 was broken, Pakistan's leg-spinner Shadab Khan derailed the innings with a burst of three wickets in the 42nd over to leave New Zealand at 210-7.
He dismissed Latham leg-before and did the same to Henry Nicholls (nought) the very next ball, before removing De Grandhomme two balls later when he edged to first slip without scoring.
Tail-enders Ish Sodhi (24) and Tim Southee (20) added a precious 42 runs for the eight wicket to bring some respectability to New Zealand's total.
Game two is back at the same venue on Saturday (NZT).
Pakistan have done splendidly in the T20I format after beating Australia and New Zealand in six consecutive matches.More news: Facebook will give you 10 minutes to unsend that embarrassing message