The decision, led by the Women of Colour (WOC) group, includes director Ava Duvernay and singer Janelle Monae.
Labels, businesses and music venues promoting Kelly are to be targeted. He denies all the allegations.
A statement urged women to dream "free from sexual assault, abuse and predatory behaviour".
"We demand appropriate investigations and inquiries into the allegations of R. Kelly's abuse made by women of colour and their families for over two decades now," it reads.