76ers star Nerlens Noel has declared war on the woman who claims she's the mother of his child ... this, after she accused the NBA star of being a deadbeat dad ... TMZ Sports has learned.

It's a nasty fight between Nerlens and a woman named Jamie -- who claims the 20-year-old signed an affidavit in May 2013 (one week after the child was born) admitting he is the father. She claims the two remained close after the pregnancy.

In legal docs, obtained by TMZ Sports, Jamie claims Nerlens agreed to pay $10k per month in child support -- and did for 3 months -- but suddenly cut her off and hasn't paid a dime since.

Jamie filed a lawsuit against Nerlens hoping the judge would force him to pay up -- but he fired back with legal docs of his own claiming he's not convinced he's the real father.