France has been hit by several terrorist attacks in the last two years, with 130 people killed in Paris last November and 84 in Nice in July. The attacks were claimed by Islamic State.
But Hollande pointed to June's European football championship as proof that France could handle a big event.
"Security is our most important priority," he said, while acknowledging he could not totally guarantee a safe Olympics.
"I don't know how the world will be in 2024 but it will be dangerous. There is no country, no capital that can think they will be protected, immune from this," Hollande said.
Paris faces competition from Los Angeles and Budapest after Rome pulled out of the bidding last month. The IOC will vote on a 2024 host city in September next year.
Bach said: "Congratulations for having gathered the population behind this project. Sport is the best way to unite a society in all its diversity and today more than ever sport plays an important role in education and social integration."
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