Radamel Falcao's brace along with Emmanuel Riviere's strike mean the newly promoted side remain unbeaten on top of the French league, ahead of reigning champions Paris Saint-Germain.
The Italian tactician was pleased with the performance against Bastia; a side that he rates quite highly.
"(Bastia's) four players in attack were very good and they also have a good defence with experience so I am very happy with the game because I think that in the end, both teams played a good game," Ranieri said on Wednesday.
"It was a great game because both teams had a lot of chances and both goalkeepers had to make some great saves."
Monaco have spent plenty of money since they were promoted to Ligue 1 at the end of last season, bringing in Falcao (€60million), James Rodriguez (€45m) and Joao Moutinho (€25m) all joining the principality club.
"It was good without thinking about being in first position in the table and it is important to us to build our game," the 61-year-old coach said.
"The most important thing for us is to build a team because the first 20-25 minutes, we were not playing smoothly."
