In a statement Thursday, he alluded to internal issues between his brother and the band.
Robinson, the band's guitarist and songwriter, founded the group with his brother and lead singer, Chris Robinson.
The Black Crowes released its debut album, "Shake Your Money Maker," in 1990. It went on to sell five million albums and featured the hits "She Talks to Angels" and "Hard to Handle."
An email seeking comment from Chris Robinson wasn't immediately returned. He also fronts the band Chris Robinson Brotherhood.
The Black Crowes' last studio album was 2008's "Warpaint."