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Mawson had a clear start to the race with Newey slotting right behind the Australian, as Mick Schumacher was third with Juri Vips sat fourth.
As the race progressed, Mawson's lead was under threat with Newey on his tail and going marginally quicker. Finally, the British driver made the move on Lap 5 to take over the top spot.
It was then holding fort for Newey as he created enough of a buffer to win the race by a comfortable margin of 2.572s over Mawson.
The German F4 champion came under pressure from his regular-season rival Schumacher, but had enough speed to keep second, with the German driver completing the podium.
Behind the top three, Vips had an off, which dropped him at the back of the four-way pack led by Moraes Cardoso.
The Brazilian had countryman Felipe Drugovich on his tail for the latter part of the race, but managed to keep him behind by a mere 0.795s in the battle for fourth.
Estonian Vips leared German Kimi Schramm for sixth, with Dylan Young continuing his points-scoring run in the Indian international series by finishing eighth.
A poor start saw Dutchman Rinus van Kalmthout drop outside the Top 10, before he made a comeback to end up ninth, ahead of Manuel Maldonado.
|9||Rinus Van Kalmthout||20.533s|
|15||Yoshiaki Katayama||+1 lap|
Dubai MRF Challenge: Mawson beats Newey to pole by 0.075s
Dubai MRF Challenge: Drugovich fends off Mawson for maiden win