Thompson, 28, usually lives in Cleveland to play basketball for the Cavaliers.
But he's scored the seven bedroom, eight bath Encino home that will put him close to True, 1.
Thompson purchased the luxurious 9,864 square foot estate on May 24.
It features a wide entry hallway with ultra-high ceilings and checkered marble tile, a dazzling dining room with brass built-in cabinets, a formal living room with marble fireplace and a private patio, and state-of-the-art kitchen with a breakfast nook.
The millionaire basketball player, who cheated on baby mama Kardashian, 34, ending their romance, will also enjoy the home's media room and master bedroom with a marble fireplace, custom built-ins and wine cooler. The spectacular house also boasts two walk-in closets and an enormous outdoor pool and spa and a separate pool house perfect for guests.
Party boy Thompson's new pad is close to all the nightlife on the Valley's famed Ventura Blvd.
It was the last straw for Kardashian, as Thompson had previously cheated on her when she was about to give birth to their daughter.
Fatherhood has been hard for the athlete. At True's 1st birthday party in April in Los Angeles, Thompson was "completely ignored" by the entire Kardashian/Jenner clan, a source told Radar.
Also, Thompson was recently ordered to hand over hundreds of thousands in back child support and additional monthly payments and other costs after his baby mama Jordan Craig demanded their 2-year-old son, Prince, should live the same lavish lifestyle as his NBA dad and half-sister, True, Radar exclusively learned.
Currently, Thompson spends most of his time in Cleveland, where he owns a lavish $1.9 million five bedroom, six bath house.
Despite her anger over his infidelity, Kardashian is in "constant communication" with Thompson for True's sake, an insider told Radar.
"She couldn’t just shut him out of their baby girl’s life because that isn’t fair to him. For now she just wants to make sure that True sees her daddy as much as possible. When he is in L.A. which is pretty frequently now, Khloe is giving him full access to True. That is important to the both of them," the source said.
And now, Thompson has a huge new L.A. home for True to play in!