The meeting, held in Los Angeles, ended with a score of 113: 103 in favor of the guests.
Luca Doncic became the most productive player of Dallas, having issued a triple-double of 31 points with 11 assists and 10 rebounds.
Another 21 points were brought to the team by Tim Hardway.
In the Clippers, Kawhi Leonard has a double-double of 26 points and 10 rebounds.
Paul George brought his team 23 points.
The score in the series became 1: 0 in favor of Mavericks.
The second game will take place in Los Angeles on May 26th.
Earlier it was reported that the throw of Middleton with a siren in overtime brought Milwaukee to victory over Miami at the start of the NBA playoffs.