Marian Hossa had a goal and an assist, and Patrick Sharp also scored for the Blackhawks, who are 9-1-1 in their last 11 games and lead the NHL with 50 points.
Crawford lost a bid for his first shutout this season when Columbus defenseman James Wisniewski scored at 3:09 of the third period. Crawford was sharp, especially early on, in his second straight start following a string of six consecutive starts by backup Ray Emery.
Steve Mason stopped 18 shots for Columbus, which lost its fifth straight and has yet to win in regulation on the road this season. The Blue Jackets have a league-worst 22 points.
Stalberg has scored goals in three straight games and has four goals and three assists in a four-game point streak. Both of his two-goal games this season have been against Columbus.
Hossa extended his points streak to eight games and has five goals and nine assists during the stretch. Sharp has points in 11 of his last 12 games, with nine goals and six assists in that span.
Columbus outshot sluggish Chicago 13-5 in the scoreless first period.
The Blackhawks failed to convert two power plays early in the first, managing just one shot on each advantage. Then the Blue Jackets took charge and created several close-in chances against Crawford, including one by R.J. Umberger when he skated in alone following a turnover.
Chicago got rolling in the second, however, and led 3-0 after 40 minutes.
Sharp opened the scoring at 4:48 with a pinpoint deflection of Hossa's feed to complete a give-and-go.
After Sharp dished the puck to Hossa on the left-wing boards, Sharp drove to the net against Columbus defenseman Marc Methot. Although Sharp appeared to be covered, Hossa managed to bank the puck off the blade of Sharp's stick and past Mason.
Stalberg made it 2-0 at 8:13, capping a flashy individual effort. He carried the puck in into the Columbus zone on the right wing, then turned and retreated up the boards. He turned again, drove to the net and fired his own rebound past Mason.
Stalberg fired in his second goal on a screened shot from the left circle with 4:12 left in the second to extend the Blackhawks' lead to 3-0. He ripped a one-timer through traffic after taking a pass from Dave Bolland.
Wisniewski made it 3-1 at 3:09 of the third, shoveling in a shot from the slot after taking a feed from Derek MacKenzie, who had corralled a rebound of Mark Letestu's shot.
Crawford made a couple of tough saves in a few shaky minutes by the Blackhawks following Wisniewski's goal.
Hossa's power-play goal completed the scoring with 4:15 left. He connected from the edge of the crease after taking a pass from Bolland.