Jimmy Fallon likes being bossed around by women, and tried to surround himself with an all-female stage crew -- that's the claim of a fired staffer who's suing Jimmy and NBC Universal for discrimination.

In the lawsuit, filed in Manhattan, Paul Tarascio -- claims he was dropped from his position as first stage manager at "Late Night with Jimmy Fallon" ... and replaced by a "totally incompetent woman" back in early 2010.