In what is a favourable draw for Fabio Capello's side, the Three Lions will go head-to-head with the French in their opening fixture, in a repeat of the 2004 European Championships when Zinedine Zidane famously scored twice in injury-time to snatch a 2-1 victory in Lisbon.
England beat Sweden 1-0 at Wembley only last month, having defeated world and European champions Spain by the same scoreline four days earlier.
NEWS:Fixtures for Euro 2012
Group A: Poland, Greece, Russia, Czech Republic
Group B: Netherlands, Denmark, Germany, Portugal
Group C: Spain, Italy, Republic of Ireland, Croatia
Group D: Ukraine, Sweden, France, England
Traditional rivals Germany and Netherlands will lock horns in a tough group, while co-hosts Poland will be hoping that history does not repeat itself when Greece provide the opposition on the opening day next June.
The event, the third biggest in global sport after the World Cup and Olympic Games, starts with a reminder of when outsiders Greece gatecrashed the opening day party of 2004 hosts Portugal with a 2-1 win on their way to a stunning tournament triumph.
"I hope that does not happen again, we would not want to experience what Portugal experienced on the first day of Euro 2004," Poland coach Franciszek Smuda told reporters looking ahead to the June 8 game in Warsaw.
"This is a good draw for us, it's not a group of death. It's not an easy group either and it will require a lot of effort to advance.
"Greece have a good team. Everything will depend on the first game in the group against them and whether we win it."
The flesh was put on the bones of the biggest sporting event to take place in eastern Europe since the 1980 Moscow Olympics when the 16 finalists were drawn into four groups for the competition which runs from June 8 to July 1 next year.
More than 1.4 million visitors are expected to come to Poland and Ukraine and sample the delights of cities as far apart as Gdansk in northern Poland and Donetsk in southern Ukraine, separated by a distance of around 2,500 kilometres.
As well as facing Greece in Group A, Poland will also meet eastern European rivals Russia in Warsaw and the Czech Republic in Wroclaw.
Smuda's side have a reasonable chance of advancing from the quartet, which is far from the toughest of the four and was kinder than Ukraine's group.
They have been bracketed with Sweden, England and France in Group D with Ukraine playing their first game against the Swedes in their capital Kiev on June 11.
Inconsistent France beat Ukraine 4-1 in a friendly in Donetsk in June and will be one of the championship's dark horses, along with England, who will be without the suspended Wayne Rooney for the start of the tournament.
Ukraine coach Oleg Blokhin said: "What can you say apart from you will never face easy opposition in the Euros so whoever we played, it was going to be a challenge. But our stadiums are ready, our people are ready and the players will be ready."
Group B brought together four strong opponents in the toughest-looking pool with Netherlands, Germany, Denmark and Portugal all renewing old rivalries.
The rivalry between the Germans and the Dutch has evolved into one of the most intense in international football dating from the 1974 World Cup final when the then West Germany beat
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