The Eastern Conference leaders have struggled on offense during their mini-slump, but found their scoring touch to secure a comfortable road victory at the Staples Center.
Irving had eight rebounds and seven assists while Jayson Tatum had 18 points on a night when five Celtics players posted double-digit scores.
The win saw Boston improve to 35-14 at the top of the East, and ensured they will head into Saturday's marquee match-up against the NBA champion Golden State Warriors on a winning note.
Boston took control after edging into a 62-55 half-time lead, quickly extending the gap to 13 points early in the third quarter thanks to a burst of scoring from Tatum and Aron Baynes.
The Clippers rallied to get within five points but a flurry of scoring capped by a Terry Rozier three-pointer handed Boston a 91-77 buffer heading into the final quarter. The Celtics pressed home their advantage in the fourth quarter to close out the win.
In Dallas, James Harden scored 25 points as Houston tightened their grip on second place in the Western Conference with a 104-97 win over the Mavericks in the all-Texas derby.
Harden finished with 13 assists and five rebounds while converting six of 10 three-point attempts.
San Antonio remain in third place in the West after a 108-85 mauling of the Memphis Grizzlies.
The Spurs, fresh from victory over Cleveland on Tuesday, showed no ill-effects from their road trip in a one-sided win.
Once again the Spurs' formidable scoring depth proved decisive, with eight players making double figures.
Spanish veteran Pau Gasol had 14 points 11 rebounds and 15 assists as the Spurs improved to 32-18. Gasol's brother Marc led the scoring for the Grizzlies with 18 points and seven rebounds.
The fourth-placed Minnesota Timberwolves however fell to 31-19 with a road 123-114 defeat against the Trail Blazers in Portland. Damian Lillard was the spark for the home team, scoring 31 points with C.J. McCollum adding 28.
DeMarcus Cousins added a double-double with 16 points and 13 rebounds to give New Orleans a third straight victory.
Elsewhere Tuesday, Australian star Ben Simmons marked his selection for the NBA All Star weekend's "Rising Stars" game next month with a triple double as the Philadelphia 76ers overpowered the Chicago Bulls by 115 to 101.
Simmons, 21, finished with 19 points, 17 rebounds, and 14 assists, as the Sixers moved to 23-21 to remain in the playoff hunt in the Eastern Conference.
Joel Embiid, who like Simmons was also named to the NBA "Rising Stars" game on Wednesday, led the Sixers scoring with 22 points.
Simmons meanwhile attributed his triple to the support of his team-mates.
"They were playing great. My team was knocking down shots -- if it wasn't for them, I wouldn't have triple doubles," he told reporters.
Fred VanVleet led the scoring for Toronto with 19 points off the bench as the second-placed Raptors kept up the pressure on first-placed Boston.