Bonner hit 9-19 field goals, including two of three treys. She was 10-13 at the foul line and added three steals and two blocked shots.
Another senior, point guard Whitney Boddie, contributed 14 points, five rebounds, four assists and four steals for the 10th-ranked Tigers.
"When we had to hang tough we did and I was proud of them for that toward the end of the game," Auburn coach Nell Fortner said.
Earlier in the day, Bonner was named to the Naismith Award Watch List for an honor that goes to the top woman's collegiate player in the country. "She's having a great season and she's a great player," Fortner said.
"I thought she did a tremendous job stepping up as the leader of this team," the coach added. "She was very vocal, she did a lot encouraging her teammates--talking to her teammates--and really running the show out there."
Auburn forced 24 turnovers and committed 14 turnovers to help the visitors overcome a cold shooting night. Auburn made just 21-58 field goals for 36.2 percent. George Washington was even colder, making just 19-62 (30.6 percent). Antelia Parrish led the Colonials in scoring with 13 points. GW slipped to 5-4 with the loss.
Bonner carried the scoring load on a night when the Tigers got only two players into double figures in the scoring column. One of AU's top shooters, Alli Smalley, struggled in the game. She was 0-6 on field goals and didn't score a point.
Auburn hit 2-9 threes vs. 6-15 for George Washington, which out-rebounded the Tigers 46-43.
Auburn hit 21-30 free throws while GW was 7-10 at the foul line.
George Washington won a shot with a buzzer beat at Auburn last season and then won a rematch in the first round of the NCAA Tournament.
Next up for the Tigers is a 1 p.m. game on Sunday at Coppin State.