Dennis Rodman -- FINALLY DIVORCED

Dennis Rodman is officially a single man -- finally agreeing to sign his wife's divorce papers after battling her for 8 years.

Michelle Rodman initially filed for divorce in 2004 -- then filed again in 2012 after a failed attempt at a reconciliation. We're told Dennis had been fighting her for years about agreeing to sign off on the split.

But in new court docs, obtained by TMZ, Dennis has finally relented -- putting his John Hancock on an agreement to dissolve his marriage once and for all.

There are still some financial issues to work out -- namely the $800,000 in back child support Dennis allegedly owes -- but for all intents and purposes, they're both officially single.

As for the primary motive behind re-filing the papers -- Michelle's attorney Mary Ann Noiroux tells TMZ, Michelle just wanted closure for the kids.

Dennis and Michelle got married in 2003 on Dennis' 42nd birthday. They have two children together -- a son and a daughter.