The O'Neal reign in the NBA ain't even close to being over -- with Shaq telling TMZ Sports BOTH of his sons are bound for the league.
You've heard about 16-year-old Shareef O'Neal for a while ... he's one of the top high school players in the country. But Shaq says his other son -- 13-year-old Shaqir O'Neal has legit skills as well.
There's more ... Shaq says he's also super impressed with 14-year-old Jaxon Williams -- son of ex-NBA star Jason Williams (aka White Chocolate).
The kids were all mixin' it up on Shaq's personal court recently -- and you can they're all insanely talented.