Unlike some other super-teams both in and out of the DC Universe, the Justice League isn't known for working with supervillains. The JLA comprises some of the biggest and brightest heroes in their universe, so it's not surprising that they don't work well with enemies like Lex Luthor and Sinestro.
Source:https://www.cbr.com/first-dc-comics-supervillains-joined-jla-in-order/