Beyonce and Solange -- Lunch Sesh With Jay Z ... No Punches Thrown

Beyonce and Solange's reunion in New Orleans really was a family affair ... TMZ has learned Jay Z also joined in on the fun.

Bey, Solo and Hova all hit up New Orleans hot spot Cafe Amelie for more than 2 hours Saturday ... according to multiple sources -- and the fam came with a MASSIVE security detail and 3 black SUV's waiting nearby.

We're told a team of bodyguards waited outside making sure no one could get a clear shot of the threesome hanging out.

The person who snapped this pic says when it came time to leave, Jay and Beyonce darted in separate directions to the car ... forcing the photog to choose one. The queen won.

Beyonce later posted a family picture from the lunch ... Jay Z, Solange, and all.