Guard James Harden, who had at least 37 points in each his previous three games, scored 25 points for the Rockets, while center Dwight Howard had his 11th straight double-double in his hometown of ATLANTA, finishing with 15 points and 11 rebounds.
After a blocked shot by Millsap and a Houston turnover, Korver made two free throws with 15.9 seconds remaining. Then, after guard Jeremy Lin hit a basket with his foot on the 3-point line, Kover made two more free throws with 5.3 seconds on the clock.
Harden hit his first three shots, including a 3-pointer, and the Rockets -- down after the first quarter in their previous four games -- jumped to an 11-0 lead as the Hawks missed their first nine shots. ATLANTA shot just 22.7 percent in the first quarter while falling behind 18-10.
ATLANTA's season-low output for a quarter was in complete contrast to Wednesday, when the Hawks scored the first 12 points en route to a 97-87 victory over Indiana -- the team with the NBA's best record.
ATLANTA got untracked in the second quarter, though, and pulled to within 41-39 at halftime despite not giving a free throw. Forward Mike Scott, who finished with 14 points, came off the bench for the Hawks to match Harden's 12-first half points.
Harden, who had 45 points in ATLANTA last season, came in off 38 points in the Rockets' 113-99 comeback victory at home on Wednesday over the Los Angeles Lakers and had scored a stunning 113 points in three games thanks to another game of 38 points and one of 37.
NOTES: F Chandler Parsons, third on the Rockets in scoring with an average of 17.2 points, missed his second straight game with right knee and hamstring soreness. ... F Ronnie Brewer, who didn't score in 23 minutes against the Lakers on Wednesday, started in Parsons' place again. ... Houston backup C Greg Smith, out off-and-on since November after spraining his right knee, played for just the 10th time this season. ... G James Harden was out with a sore left foot when the teams met in Houston on Nov. 27, but the Rockets shot 55.1 percent and rolled to a 113-84 victory anyway. ... The Rockets play at Washington on Saturday in the second game of a four-game road trip. ... The Hawks are at Memphis on Sunday before a trip to London and a game against Brooklyn. ... F Cartier Martin, waived by the Hawks on Tuesday, signed a 10-day contract with Chicago.