Jesse Jackson's Daughter -- Dad Bans N-Word from Her Raps

Jesse Jackson is starting to bend a little on his 16-year-old daughter doing rap music, but he's standing firm on one rule -- absolutely NO use of the n-word in her rhymes.

A rep for Ashley Jackson tells TMZ ... the teen grew up with zero tolerance for all profanity, and now that she has a budding career in music ... ain't a damn thing changed.

You might recall, Jesse famously encouraged all hip-hop artists to stop using the n-word back in 2006. We're told he gave Ashley the same speech ... with better results this time around.

Ashley -- who lives with Mom in L.A.-- doesn't use offensive slang in her day-to-day vocabulary, anyway ... and has no plans to do so in her music. We're told she's more into making music with a socially conscious message.