Over 2.5m football fans are expected to converge on France for the month-long football tournament, and security services want the extra powers granted to them by an official state of emergency to help ensure their safety.
"We have to ensure security," said French Prime Minister Manuel Valls on France Info radio.
"The state of emergency cannot be permanent, but on the occasion of these big events...we have decided to prolong."
Should the extension win parliamentary approval, it will mark the fourth time the law has been prolonged since the Paris attacks last November which left 130 dead and targeted a football match between France and Germany.
Under a state of emergency police and security forces will have the power to search homes without a warrant and place people under house arrest without the normal judicial process.
According to Reuters, the Stade de France, which will host the Euro 2016 final, will be watched over by 1,200 security officials.