It was a case of youth versus experience as Juventus's Andrea Pirlo and Patrice Evra had 30 more Champions League appearances than the whole home side's starting team and Monaco's lack of nous was exposed as the match wore on.
"We went through thanks to our desire to sacrifice, to fight, to reach our goal," Juventus keeper Gianluigi Buffon told BeIN Sport.
"I think Juve deserved their qualification. Maybe not for today's game but for that mindset."
Monaco were well on top in the early stages and Kondogbia hit a fierce 20-metre strike that flew just over the bar, while Bernardo Silva's low cross was almost deflected into his own net by Andrea Barzagli in the 15th minute.
Kondogbia continued to shine in midfield and had another chance but shot straight at Juve keeper Gianluigi Buffon, before the visitors, who were without injured midfielder Paul Pogba, began to wake from their slow start as the match wore on.
They nearly found a way through when Pirlo's pass looked bound for Stephan Lichtsteiner on the edge of the box before Danijel Subasic snatched the chance away from him.