"I have confidence in the American people to known which is the choice that best reflects their values, their principles, to freedom, to this relationship with France and Europe," Hollande said on a visit to the western French port of La Rochelle.
The relationship between France and the US is "a relationship forged by history, by the same commitment to the enlightenment, for freedoms, for the values that we have and share", he went on.
Wars and hardship have strengthened the link, Hollande said.
RFI will be following the results of the US presidential election, in which Democrat Clinton slugs it out with Republican Donald Trump, in its broadcasts and on the website on Wednesday.
A recently published book claims that Clinton and Hollande share distant but common ancestors.
To read our coverage of this year's US presidential election click here