Smuda, who is the national team's 44th coach, has a contract until the end of the European Championship in which Poland are guaranteed an automatic place as co-hosts with Ukraine.
"He has a lot of time to prepare the team for the European Championship. Although he has two and a half years, his work will be assessed as it progresses," PZPN's deputy head Antoni Piechniczek was quoted as saying by PAP state agency.
"I feel great," Smuda was quoted as saying on www.uefa.com. "It has been my dream to work with the Polish national team."
Poland dismissed Beenhakker after their hopes of reaching next year's World Cup in South Africa were ended by a 3-0 defeat away to Slovenia in Group Three. Poland finished second from bottom above only San Marino in the six-team group.
"Every match for the national team is very important, even a friendly, so I'm sure there will be 100 percent motivation for me and the players," he said.
