UEFA says the ban will apply in and around all eight host stadiums in Poland and Ukraine.
UEFA President Michel Platini says the ban is about ”respecting the health of our spectators.”
Host cities will also be urged to extend the policy to ”ensure smoke-free public transport, restaurants and fan zones.”
UEFA worked with the World Health Organization and European Union to introduce the policy.
The 16-nation tournament will be played from June 8-July 1.