Pekovic hauled down six rebounds while Kirilenko finished with 11 boards as the T-Wolves improved to 5-2 -- their best start to a season since 2001-02.
Alexey Shved (16 points), Luke Ridnour (15) and Dante Cunningham (14) also reached double figures for Minnesota.
The Mavericks, meanwhile, fell to .500 on the season at 4-4 despite 21 points from Darren Collison.
O.J. Mayo helped out with 18 for Dallas in the setback.
Celebrity Breakups and divorces of 2014 [PHOTOS]