Jason Kila (27*) was the only one to provide some glitz with a last-over blitz.
PNG managed 128/8 from 20 overs.
In reply, Ben Cooper (41) stood out to help Netherlands seal victory.
Views: Netherlands and PNG skippers react
"I'm pleased and proud of this team. Before we came here we struggled a little and there were a lot of it words said about it but I think we've come here and produced quality cricket," said Netherlands skipper Pieter Seelaar.
PNG skipper Assad Vala said, "We made our country really proud the way we played throughout the tournament, it wasn't to be today."
Colin Ackermann and Ryan ten Doeschate deserve special mentions
Colin Ackermann and Ryan ten Doeschate deserve special mentions in the chase. The two shared an unbeaten 52-run stand for the fourth wicket. The experienced Doeschate smashed a 23-ball 34*. He hit three sixes and two fours. Ackermann (29) supported him well.
Ireland vs Namibia
All-round Ireland take third place after beating Namibia
Earlier, the Irish claimed third place with a 27-run win over Namibia.
They defended a modest total of 135.
Namibia's JJ Smith (3/19) and Craig Williams (3/34) claimed three wickets apiece as Ireland's batsmen struggled.
Andy Balbirnie was the top run-scorer with 46.
In reply, Namibia were bowled out for 108.
Skipper Gerhard Erasmus (51) led a lone fight for the Namibians.
Irish skipper delighted by the quality of cricket
'It's been the highest standard in a World Cup Qualifier that I've seen'
First round groupings for the ICC WorldT20 confirmed
With these results, the first round groupings for the ICC WorldT20 2020 are now confirmed. The likes of PNG, Ireland and Oman will be in Group A and have joined Sri Lanka. Group B will see the likes of Netherlands, Namibia and Scotland join Bangladesh.