TMZ released an audio recording Tuesday in which it says Cousins threatens to shoot Christy West, the mother of their 7-year-old child.
The Lakers issued a statement saying they "take this claim seriously." The team and the NBA both say they’re gathering information and looking into the allegations.
Cousins got married last weekend in Atlanta.
Cousins signed with the Lakers last month as a free agent, but the veteran centre then tore a knee ligament during a workout earlier this month. He could miss the entire season with his new team after knee surgery.