There are quite a few previous posts on this same question, so I'd definitely recommend searching for it if you want some more in-depth answers.

I'll echo here what most will say: The American Revolution was not really of any influence on the French Revolution. I think a common misconception is that the French Revolution was about instilling democracy in the form of a Republic, like the Americans. However the French Revolution was emphatically NOT about that at all; not until 1792 when many radical twists and turns had lead to a Republic as one of a few viable options. Until that point, the French Revolution was about making some concrete, overdue reforms, and instituting a 'check' on the Monarchy's power. In form, that grew up around the idea of a Constitutional Monarchy that lasted in theory from 1789 through 1792.

I would say both the American Revolution and the French Revolution were mutually influenced by the general ideas floating around the intellectual circles since the mid 1700s: the "natural rights of man", liberty and equality, and a sense of universal justice. The French did not learn these from the Americans-- on the contrary, many of the men at the heart of the Enlightenment were French! Instead of seeing the French Revolution as deriving from, or being inspired by, the American Revolution, I think it's more apt to see them both as products of a changing way of thinking about humanity that contrasted sharply with the feudal view of society still prevalent in France on the eve of the Revolution.