The curtain will fall on the show, scored and co-produced by Keys, on 26 February (12).
The production, at Manhattan's Cort Theatre, was hit with scathing reviews upon its launch in December (11) and took just $238,338 (£149,000) last week (ends05Feb12). Weekly box office earnings have rarely surpassed $300,000 (£188,000).
In the play, The West Wing's Dule Hill and ER star Mekhi Phifer play brothers who choose the same weekend to introduce their girlfriends to their parents at the family's Martha's Vineyard estate, off the coast of Massachusetts.
Keys told how she was "passionate" about the play when it was announced last June (11) as it "portrays black America in a way that we don't often get to see in entertainment".
She added, "This is a story that everybody can relate to. I know it will touch all audiences who will find a piece of themselves somewhere inside this house."