Bonner made 4-9 field goals and hit 11-12 foul shots as she had her 37th career double-double for the Tigers.
Point guard Whitney Boddie also produced a double-double for the Tigers. The senior finished with 12 points and 10 assists.
Another senior, Sherell Hobbs, scored 10 points for the Tigers as did junior center Keke Carrier, who played in a reserve role.
The Razorbacks got a triple-double from freshman Ceira Ricketts, who scored 14 points, pulled in 13 rebounds and added 12 assists.
"We didn't play our best basketball," said Auburn coach Nell Fortner, who added she was happy to get her team's second conference road win of the season.
"We were playing against a team that was playing a 1-3-1 (zone defense)," she noted. "That is a little different than what you see night in and night out so we struggled a little bit to find our rhythm offensively.
"We came through when we had to," Fortner added. "I thought we had a good run in the second half and kind of pulled away from them."
Auburn built a 15-point lead midway through the first half, but went cold shooting the basketball and led by just 34-30 at intermission.
Arkansas then scored the first four points of the second period to tie the game, but Auburn picked up its pace offensively and built the lead back to 64-48 late in the game before winning by nine. The Tigers never trailed in the contest.
Auburn hit 44.8 percent from the field while Arkansas made 43.3 percent of its shots. Auburn was 3-10 on threes and 15-21 at the foul line. Arkansas made 5-22 threes and 4-10 free trhows.
Auburn held a 43-36 rebounding edge and turned the ball over 11 times, two fewer than the home team that lost for the fourth straight time.
With a win over Alabama, the Tigers can tie the 1986-87 team for the second longest winning streak to open a season. The 1988-89 team has the record with 28 straight wins before a loss. Box Score