REUTERS/Shannon Stapleton
Quattrone, 60, spent much of his career at big Wall Street firms, including Morgan Stanley, Deutsche Bank, and Credit Suisse.
He left that career after the bursting dot-com bubble prompted an investigation into how shares were allocated in initial public offerings.
Quattrone started Qatalyst in 2008, and has been advising on tech deals with the firm ever since.
He will be replaced as CEO by George Boutros, who has worked with Quattrone for years at multiple firms, according to Fortune.
Qatalyst also named Jason DiLullo and Jonathan Turner as new co-presidents, according to the report.
Quattrone will become executive chairman.