David Kampf and Vinnie Hinostroza scored for the Blackhawks (24-19-7), who have won two consecutive games and are 12-9-4 on the road.
"I think today we actually worked as a team," Forsberg said. "We did a really good job of keeping most of the shots outside. I know it was a lot of shots, but it didn't feel like it was that many hard scoring chances. So, in that way, I feel like it was a team effort."
WATCH: [All Blackhawks vs. Predators highlights]
The Predators (29-12-7) lost in regulation for the first time since Jan. 2, ending an eight-game point streak (6-0-2).
"I think our start could've been better," Predators defenseman Roman Josi said. "We didn't execute that well. After that, it was a fast game. They played fast. I thought we played pretty fast too. We had our chances and just couldn't get another goal."
Kampf gave the Blackhawks a 1-0 lead at 3:03 of the first period on a wrist shot. Predators forward Austin Watson and Josi misplayed the puck, and Kampf gathered the turnover and beat Predators goaltender Juuse Saros for his second goal of the season.
"I thought they had good pace," Blackhawks coach Joel Quenneville said of Kampf's line. "They obviously scored a big goal right off the bat, but I thought they had zone time. They all have energy and they all have quickness, and they managed the puck well."
Kyle Turris scored for the Predators to tie the game 1-1 at 2:12 of the second period on a shot from the slot. Craig Smith intercepted Forsberg's pass behind the net and got it to Scott Hartnell, who found Turris alone in front. Turris beat Forsberg, who was trying to get back in position.