On a night when the storied franchise honored former quarterback Brett Favre, problems in the passing game hurt the Packers again.
Jay Cutler threw for 200 yards and a score, and the Bears held off the Packers on fourth-and-goal from the 8 with 22 seconds left for a 17-13 victory Thursday.
Cornerback Tracy Porter intercepted Rodgers' pass with 3:19 left at the Bears 45 on the previous drive.
"We had the opportunity at the end down there at the 8-yard line with the shots and we didn't get it done," Packers coach Mike McCarthy said.
There were several other missed opportunities.
Eddie Lacy fumbled deep in Bears territory in the second quarter after getting hit from behind. Cutler cashed in on Chicago's next drive by finding Zach Miller for a 3-yard touchdown pass that tied it at 7 with 6:03 left in the half.
Adams dropped another pass in the open on third-and-long in the first quarter that could have led to a big gain.
"I just think that I'm obviously going to have to make sure that my preparation is as high as it's ever been because we've got to get on the same page in the passing game," Rodgers said.
After getting hit near his left elbow by linebacker Lamarr Houston while retrieving a high snap, Rodgers said he lost feeling in his hand for the rest of the third quarter and into the fourth. He had regained full feeling in three fingers by the end of the game.
"It's my left hand, I'll be all right," said Rodgers, who was 22 of 43 for 202 yards and a touchdown.
Cutler was a little better, somewhat of a surprise given how poorly he has played at Lambeau Field in his career with the Bears. He was 19 of 31.
In his four previous games at Green Bay, all losses, Cutler had thrown 12 interceptions. But under new coach John Fox and offensive coordinator Adam Gase, Cutler avoided throwing a pick.
Green Bay had won six of its previous seven at Lambeau in the series. And the Thanksgiving game seemed to set up perfectly for the Packers' faithful on an emotional night, with the team honoring Favre at halftime. His name and No. 4 joined the franchise's five other retired numbers on the north facade inside the stadium.
The Bears played spoilers.
"Looking at guys in that locker room that had been here for a minute and maybe not had great success here, Jay included. It was fun to watch," Fox said.
Chicago (5-6) has won three of its last four. The Packers (7-4) lost a second straight home game.
Robbie Gould's 21-yard field goal in the fourth quarter for Chicago was the only scoring for either team in the second half of a game played in dreary conditions.
It put ball security at a premium.
"We didn't get it done tonight and really I think one of the biggest factors was handling the football," McCarthy said. "We had opportunities to catch the football, protect the football. ... They did a better job than we did."
The defense made the biggest statement.
"A huge win for this team," safety Chris Prosinski said. "This isn't an easy place to win, so this is definitely one we're going to take into the next five weeks."
NOTES: WR Randall Cobb finished with six catches for 74 yards. ... Lacy ran for 105 yards on 17 carries and scored on a 25-yard catch-and-run. ... Bears LB Shea McClellin finished with a game-high 10 tackles. ... Rookie CB Damarious Randall (knee) and RT Bryan Bulaga (ankle) left the game for the Packers.