Radamel Falcao's hat-trick and a goal from Jemerson secured the champions' 14th win in a row in the French top flight.
The run matches that achieved by Bordeaux between March and August in 2009.
14 - Monaco have won their last 14 games in Ligue 1, the joint-best run in the French top-flight alongside Bordeaux in 2009. Invincible. pic.twitter.com/ecaQrZGiy5— OptaJean (@OptaJean) August 13, 2017
Leonardo Jardim's side join Lyon, Marseille and Saint-Etienne in winning their first two games of 2017-18. Paris Saint-Germain or Guingamp can do the same with a victory when they meet later on Sunday.
The reigning champions continue to impress despite seeing their first team gutted in a painful transfer window for Jardim.
Bernardo Silva, Benjamin Mendy and Tiemoue Bakayoko all left Stade Louis II for the Premier League this summer, while Mbappe has been strongly linked with a move to Paris Saint-Germain and Real Madrid.
Indeed, the teenage sensation was absent on Sunday as his strike partner took centre-stage in another fine victory.