Korver, the league's most accurate 3-point shooter this season (50.4 percent), suffered the injury when he caught a shoulder from Lakers forward Ed Davis. Korver held a towel to his head, immediately left the game and did not return.
The Hawks said after the game that Korver was expected to stay in Los Angeles to have his nose examined. A timetable for his return was not immediately clear.
The 6-foot-7 sharpshooter's streak of 51 consecutive games with a made 3-pointer also ended, as Korver missed both of his attempts from beyond the arc. That marked the second longest such streak of his career, following his 127-game streak, the longest in NBA history.
Korver, one of Atlanta's regular starters, entered the game ranked fourth on the team in scoring (12.6 points per game).