FBI On the Case for Leslie Jones' Hackers

The FBI is now on the hunt for the hackers who violated SNL's Leslie Jones ... TMZ has learned.

Sources familiar with the situation tell us, the FBI is developing a strategy for tracking down the person or people who hacked into her iCloud and cell phone and posted nude photos and personal information on her website.

It's unclear whether agents from the West Coast or East Coast will launch the investigation ... Leslie lives in both New York and L.A.

From what we can gather, this is exclusively an FBI investigation ... we've checked with both the NYPD and the LAPD and they don't have the case.