"Love & Hip Hop" star Mimi Faust has SEX TAPE - and her partner is her co-star and BF from the reality show Nikko!

Vivid honcho Steve Hirsch told TMZ...he got hold of the sex tape starring Mimi and Nikko Smith, and then contacted them to sign off on it going public.

He says "Love & Hip Hop" producers also gave their blessing ... presumably in an effort to spice up the reality show for next season.

It's scheduled for release later this month. See some of the pics here!

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