Morrow is an imprint of HarperCollins Publishers. It announced Thursday that Love will "set the record straight."
Her memoir will address life with Cobain, the Nirvana leader who died in 1994, her drug problems and her Hollywood career.
The memoir is currently untitled and is scheduled to come out next fall.
She's among several musicians who recently agreed to write memoirs. Those include Neil Young, Pete Townshend, Carole King and Gregg Allman.