Monaco started brightly as they began the thankless task of trying to breach the Juve defence and the home side's 39-year-old keeper Buffon flapped at Bernardo Silva's cross in the first minute, although nobody was on hand to take advantage.
They will face either Real Madrid or Atletico Madrid, who meet in the other semi at the Vicente Calderon on Wednesday with Real leading 3-0.
Massimiliano Allegri's side has a chance to return to the Champions League final and clinch an unprecedented sixth Serie A title. The Monaco boss said an early goal could be the catalyst for an upset and urged his players to defy expectations one more time.
Juventus' Mario Mandzukic, background, scores his side's opening goal during the Champions League semi final second leg soccer match between Juventus and Monaco in Turin, Italy, Tuesday, May 9, 2017.
What's more, the Italian champions have won all 37 of the UEFA competition ties in which they won the first leg away from home, most recently against Porto in the last 16.
Monaco coach Jardim will look to teenage striker Kylian Mbappe, one of the hottest properties in European football, and he said: "We have to stay confident, try to play our game and put on a good performance".
Mbappe finally got on the score sheet in the 69th minute finishing from close range off a low cross from the left.
Juventus have not lost a Champions League game this season, are unbeaten in their last 18 Champions League home games dating to April 2013 and have not conceded a goal in 621 minutes - the last being a ninth-minute strike by Sevilla in the group stage on November 22. Also the fact that they have not lost in their last 18 Champions League home games, winning 11 and drawing seven, is another cause for concern for the French club. "We're playing against Monaco and we still have to qualify for the final", he said.
"But we still have to improve, and we have a month to work on it, without forgetting that we are in the middle of some very important games".
Most players would have scored an own goal in this situation, but Giorgio Chiellini isn't most players. The manager said that they are the Monaco is a good team and they are in the semifinal.
Reaching this stage of the competition has been a huge achievement for Leonardo Jardim and his side - and with a first Ligue 1 title since 2000 likely, semi-final elimination is no disgrace. "We've got a semifinal to play and we've got to get through 95 minutes full of dangers, even if we have the experience to manage this fixture".