The 400-capacity site replaces the iconic Barfly on Chalk Farm Road, which hosted performances from Oasis, Blur and Coldplay in its heyday.
It is Columbo Group’s second live music space to open in Camden this year, following the launch of the Jazz Café nightclub in May.
The opening weeks will see performances from grime artist AJ Tracey, DJ duo The 2 Bears and soul singer Andrew Ashong.
Andy Peyton, head of music at The Camden Assembly, said: “We want this venue not to be a monument to the glory days of indie, or the glory days of Camden, or the glory days of The Barfly. Instead we hope it will be a forward-thinking reflection of the eclectic tastes young people have today, something Camden and London can be proud of.”
Lucky Chip already serves its burgers at Islington's The Old Queens Head pub - also owned by Columbo Group - and opened its first permanent restaurant in Dalston in January.
Camden Assembly's launch comes amid a surge of new openings in the borough, with pizza restaurant Voodoo Rays and tech-driven venue Inamo making their debut in the area this year.
It will be Columbo Group’s tenth opening in London, joining music venues including XOYO, Phonox, The Nest, and three Blues Kitchen restaurants.