Camille Little added 15 and Shekinna Stricklen had 15 points and 11 rebounds for the Storm (9-10), who beat the Mercury for the second time in six days.
DeWanna Bonner scored 18 points, Lynetta Kizer had 14 and Alexis Hornbuckle added 13 for Phoenix (4-15), which matched a franchise record with six third-quarter points, set twice previously and most recently in 2008.
The Mercury have lost six straight and eight of their past nine.
The game was the last for both teams before the league's month-long break for the Olympics.
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