Irving, a former NBA champion and eight-time All-Star who was traded to Dallas on Sunday after a sometimes controversial tenure with the Brooklyn Nets, added four rebounds and five assists and the Mavs led all the way despite the absence of star Luka Doncic, who remained sidelined with a foot injury.
"Incredible," Irving said of his first game since the trade he requested from Brooklyn, where, he said this week, he "felt very disrespected."
"I had natural nerves out there, so I was just trying to play well," he added. "I got to play the game that I love with some guys that were selfless out there and it just feels good."
Irving made nine of his 17 shots from the field and delivered four three-pointers against a Clippers team that was among those reportedly courting him once his trade request became public.
Dallas coach Jason Kidd said Irving's contribution went beyond scoring for a Mavs team that has floundered without Doncic on the floor.
"His leadership down the stretch of getting everyone organized... a lot of great stuff on this new journey with him. It's going to be fun."
The Mavericks shot out of the gate, fueled by five three-pointers in the first quarter from Reggie Bullock. Irving found his range in the second period to help them push their lead to as many as 19.
Clippers star Kawhi Leonard scored 13 of his 18 points in the third quarter as Los Angeles closed the gap, but Irving and the Mavs had more than enough to keep them at bay.
In Boston, the league-leading Celtics shook off the absence of three starters and the early exit of Jaylen Brown with a facial injury to beat the Philadelphia 76ers 106-99.
Brown took an accidental elbow from teammate Jayson Tatum as they both went for a rebound with less than two minutes left in the first half and Brown was knocked out of the game.
The Athletic website later reported he had a facial fracture that would likely sideline him through the February 19 All-Star Game, although the Celtics did not immediately confirm that.
His departure was a potentially crushing blow for a Celtics team already without Marcus Smart, Robert Williams and Al Horford, but the Eastern Conference leaders didn't miss a beat.
"Tonight was the definition of a team win," Tatum told broadcaster ESPN after the Celtics shot 52.6 percent from the floor, draining 19 of their 35 three-point attempts.
Tatum himself had a quiet night with just 12 points, eight rebounds and nine assists, connecting on just five of his 15 shots from the field.
But his unheralded teammates did more than enough to hold off the Sixers and their MVP candidate Joel Embiid, who led all scorers with 28 points.
James Harden scored 20 for Philadelphia, who never led after the first quarter.
Lillard fuels Portland
In Portland, Damian Lillard had a triple double of 33 points, 10 rebounds and 11 assists as the Trail Blazers rallied to beat the Golden State Warriors 125-122.
Jordan Poole scored 38 points and Klay Thompson added 31 for the Warriors, who were again without injured Stephen Curry.
The Sacramento Kings edged the Rockets 130-128 in Houston, where De'Aaron Fox made three free throws with three-tenths of a second left to seal it after Eric Gordon was charged with a debatable shooting foul.
Fox scored 13 of his 31 points in the fourth quarter as the Kings withstood 41 points from Houston's Jalen Green to win a tight back-and-forth battle that featured 22 lead changes.
