The PNG Barramundis, currently world #17, will make its first ever appearance at a World Cup after beating Kenya by 45 runs at the Dubai International Stadium yesterday.
The team had to wait for the result of the Netherlands' game against Scotland before they could celebrate their qualification for the men's tournament next October.
"I am feeling a little emotional," PNG's coach Joe Dawes said.
"It's been a pretty big two years, for them to achieve this is pretty special."
PNG were facing disaster on Sunday when they slipped to 6-19 in their match against Kenya but Norman Vanua led the recovery, clubbing 54 from 48 balls and sharing a seventh wicket partnership of 77 with Ses Bau.
"Norman was outstanding and we have been challenging him for a long time to stand up and be a senior player and for him to do that today was awesome for his country but [also] just awesome for him and his confidence and the hard work that he has put in," Dawes said.
Nosaina Pokana was the most successful of the PNG bowlers with 3-21.
Fourteen associate nations are competing at the World T20 Qualifier for the final six spots in the 'First Round' of next year's T20 World Cup in Australia.
Hosts Australia and other top nations such as India and England are already assured a spot in the 'Super 12' stage that will feature two groups of six before the knockout stages.