Goalkeeper Muteba Kidiaba pulled off a series of point blank saves to keep the African champions in the game against the Copa Libertadores winners.
Not only are Mazembe the first African side to reach the Club World Cup final, they are also the first team from outside Europe and South America to go that far in the competition.
"We are here to represent Africa and all of Africa will be proud of our work," Mazembe's Senegalese coach Lamine N'Diaye said. "It's a day of happiness for us and also a day of pride - we have succeeded and shown that our players are of a high standard."
An appearance in the final looked unlikely given the tense start the African side made and Kidiaba had to be at his very best to keep out a confident looking Internacional.
Even more worryingly, apart from one Kaluyituka effort, the DR Congo side also failed to create many chances in the first half. But as the game wore on Mazembe increased in confidence both in attack and at the back.
