"I'm not the saviour," Ribery said after twice cancelling out Belarusian goals in the second half as France ended a five-game goalless streak and all but secured a playoff spot.
"I scored at the right moment, when the team needed it, but we're above all happy that we had a strong second half."
The 30-year-old Ribery, the most capped French player on the pitch with 76 international appearances, had already created two and scored one of France's three goals in a 3-1 home win against Georgia in March.
Along with playmaker Mathieu Valbuena, the only other consistent French attacking player, he has been involved in seven of France's last eight goals.
The Bayern Munich midfielder could have missed the game with a buttock injury that prevented him from training normally, but took the risk of aggravating the problem to help his side.
"Other players may have not played but I'm a generous person," he said afterwards.
Coach Didier Deschamps said: "We have one great player with Ribery and he confirmed that here."
France, tied on 14 points with Group I leaders Spain, host Finland in their final qualifier on October 15.