The unseeded Russians captured the decisive break in the second game of the third set at Rod Laver Arena and survived five break points before closing out the match on the third match point.
The win secured the Fed Cup team mates their first grand slam doubles title in their first tour final, though each had won major doubles titles separately.
Kuznetsova won the 2005 Australian Open with Australian Alicia Molik, while Zvonareva won the 2006 U.S. Open with France’s Nathalie Dechy.
The group landed in Abu Dhabi includes 77 children accompanied by 43 members of their families
The seven-time champion dominated Iran’s Hussein Vafaei who is almost half his age