Irving scored 15 of his 28 points in the fourth quarter as the Nets extended their winning streak to 10 games at State Farm Arena on Wednesday.
The influential Irving also provided eight assists as Brooklyn recorded the longest run of victories in the NBA this season.
Irving said: "For me specifically, when the fourth quarter hits, it's winning time.
"That's all I really know. When I'm out there with that group to start the fourth, I know KD [Kevin Durant] is resting a little bit, so I just have to raise my aggression level and raise my efficiency up, and I'm grateful to have the trust of my team-mates and coaching staff.'"
Durant weighed in with 26 points and claimed a season-high 16 rebounds as the Nets continued their charge.
"I think the whole second half we were there for each other,'" Durant said. '"We made a couple of adjustments on a couple of guys and we were able to execute that.
"We were able to slow them down just a little bit."
Hawks coach Nate McMillan could not fault his players after they suffered back-to-back defeats to slip to 17-18.
"I saw fight from our guys tonight," McMillan said. "You can live with that. I thought from start to finish we stepped up and played.
"We didn't think about the guys that were out. The guys that were playing came out and played to win."