If you meet the following requirements below, yes, you can:
Age: 18 years;
French citizenship; EU citizens residing in France may, however, require to be registered on the supplementary electoral roll to vote in municipal and/or European elections.
Disfranchisement is limited to persons under guardianship and to persons serving certain criminal sentences. When disfranchisement isn't part of the sentence, detained persons may vote by proxy.
To be eligible to vote, a person must be at least 18 years old by the end of February of election year. They must not have been banned from voting in another EU state. Registration to vote must be made by the last working day in December of the year preceding elections.
Voting is not compulsary. French voters, once registered, are send a voter's card providing them the address of their polling station, at least 3 days prior to the election. In the smaller municipalities (with a population under 3,500 people), voters may cast their votes when presenting their voter's card only.
In the more populated municipalities, a recognized identity document ( i.e. French identity card, driving licence or passport) is required and presenting a voter's card being optional.
Get get more info about voting in France at www.elections-legislatives.fr and www.angloinfo.com.
Get live French election results from Wall Street Journal.