Pamela Smith claims in her paternity suit -- filed February 6 in Fulton County, GA and obtained by TMZ -- she became pregnant after having sex with Jordan in 1995. Pamela gave birth to Grant Pierce Jay Jordan Reynolds -- aka Taj -- in June 1996. BTW, Jordan was married to Juanita Vanoy at the time he allegedly had sex with Smith.

Pamela says in her legal docs she welcomes a paternity test to prove Jordan's the dad. She wants full custody and child support. She also wants Jordan to pay the kid's medical expenses.

Pamela also wants the judge to make Jordan the boy's legal last name. The docs do not describe any alleged relationship between Smith and Jordan.

Grant posted a YouTube video in December declaring that Jordan's his daddy.