The Wildcats were never able to put the Aztecs away and had only a four-point lead with 1:20 to play. Aaron Gordon then converted an alley-oop pass from T.J. McConnell and McConnell made 1-of-2 from the line to give Arizona a seven-point cushion going into the final 40 seconds.
Arizona has won all of its three games while San Diego State slipped to 1-1.
Gordon added 16 points and nine rebounds for the Wildcats, who held the Aztecs to 34 percent shooting.
Xavier Thames and J.J. O'Brien both scored 19 for the Aztecs.
Celebrity Couples of 2014 [PHOTOS]