Put into bat, New Zealand were led by Anderson, Luke Ronchi (33) and Martin Guptill (32) after losing their first three wickets for just 15 runs.
Anderson hit four sixes and a boundary off 37 balls and added 51 for the fifth wicket with Ronchi.
For Pakistan, left-arm pacemen Sohail Tanvir finished with 2-24 and Mohammad Irfan took 2-27.
The second Twenty20 international will also be played in Dubai on Friday. -AFP