Meeks, who led the Lakers with 24 points, made two free throws with 8:07 left in the first half to tie the game at 43, but Jose Calderon's 3-pointer on a pass from Marion put the Mavericks ahead to stay.
"We've got some guys who are struggling right now, and some guys playing well," Lakers coach Mike D'Antoni said. "Then in the next game, the guys who were struggling play well and the others start struggling."
Vince Carter scored 19 points for Dallas, DeJuan Blair added 15 and Calderon 12.
Kendall Marshall had 18 points for the Lakers, while Wesley Johnson added 17. Gasol had 15 points and 13 rebounds.
Since a 3-0 road trip that ended New Year's Day at Washington, the Mavericks had lost two more home games. The last was 92-80 to the New York Knicks on Sunday when they were held to their season-low scoring output.
Los Angeles is without Kobe Bryant (left knee), Steve Nash (back), Steve Blake (torn ulnar collateral ligament) and Jordan Farmar (left hamstring tear). Nash has missed 27 consecutive games, and Bryant has been out 10 straight since playing in his only six games this season.
"It's tough. I'm trying my best to get us going," said Nick Young, who is dealing with his own back issue. "The more we keep getting buried, it's harder to get back. We've still got to stay with it, stay a team. There ain't nowhere to go but up."
NOTES: Dallas is 4-5 in the first of back-to-back games this season. The Mavs play at San Antonio on Wednesday night. They then get one day off before another back-to-back, at New Orleans on Friday night and then hosting the Pelicans on Saturday night. ... Marshall had 32 assists in his first two starts for the Lakers. He had six assists with six turnovers against Dallas.