Nia Long just got what she wanted in her custody battle with Ime Udoka -- a judge made it so she'll get monthly support ... plus, a majority of the parenting time for their child.

The actress and NBA coach -- who split up in 2022 amid claims of infidelity -- came to terms in court Monday ... with a judge signing off on a custody agreement that hashes out who's paying who, and who their son will live with/spend most of his time with.

Per the docs, obtained by TMZ, it's actually Nia who'll be receiving monthly child support -- and even though the court said she might be entitled to upwards of $56k ... the 2 parents ended up landing on about half of that, with Ime agreeing to pay her $32,500/month.

The couple went through their financials -- as did the court -- and found Ime makes way more money coaching the Houston Rockets right now than Nia does ... noting he's got more than $400k in net monthly disposable income, whereas she's only got about $20k.

Now, in terms of custody ... they'll continue to share joint legal custody -- but Nia will get sole physical custody with reasonable visitation for Ime as time and scheduling permits.

They note in their docs that Ime is constantly traveling with the team, and this arrangement works better for everyone. Everything else pertaining to their kid, Kez, is pretty even-Steven.

Remember, Nia had filed for pretty much exactly this situation back in August -- and earlier this month, she and Ime had come to these exact terms in a settlement. Now, she's got it all in writing with a stamp of approval ... with the court entering the judgment, making it official.

On its face, it seems both parties are happy ... which is all you can ask for.