Kaman averaged 10.5 points and 5.6 rebounds while starting 52 of 66 games for Dallas last season. He averaged a career-low 20.7 minutes.
His deal with the Lakers is reportedly for one year at $3.2 million.
It will be Kaman's second straight season on a one-year contract. He had an $8 million deal to be the starter in Dallas last season but spent more than half of every game on coach Rick Carlisle's bench.
The 10-year NBA veteran has also played with the Clippers and New Orleans in his career.
Kaman made the 2010 All-Star team. As a dual citizen of the U.S. and Germany, he played for the German team at the 2008 Beijing Olympics.