Kim Kardashian & Kris Humphries DIVORCE SETTLED!

According to TMZ Kris Humphries and Kim Kardashian have settled their year-and-a-half long divorce battle, and it looks like it will be announced in court today ... this according to sources directly connected with Kris.

TMZ broke the story Thursday ... Kris had softened his position about demanding an annulment because his case had gone South -- in other words, there was no proof Kim committed fraud when she married him.

Our sources say Kris will not show up in court today.  Sources connected with the bballer tell us ... he's with his team today, gearing up for the NBA playoffs.  This is significant, because Kris was ordered to court -- a judge wants him there when he gets hit with fines for not showing up last week.

We're told Kim will show up.

As for the settlement, it's confidential so far, but you can bet this was a divorce and NOT an annulment.

To put this in perspective, the divorce battle raged on for 536 days.  They were married for 72 days.