The record figure prompted more calls last night for Britain to get out of the EU.
Anti-Brussels campaigners said the growing flood of illegal crossings shows just how porous Europe’s borders have become.
Vote Leave and Ukip insisted the United Kingdom can only control numbers of arrivals if it ditches EU bureaucracy in the referendum on June 23.
A report by border security agency Frontex revealed the shock figures.
“The only safe option in light of the EU’s inability to deal with the migrant crisis is to vote leave.”
Steven Woolfe, Ukip’s migration spokesman, blamed German Chancellor Angela Merkel for waving in hundreds of thousands of migrants.
He said: “For those who of us who have to follow the migration issue on a professional basis these numbers and issues have been well understood for some time.
“Now even the EU’s own border security force are speaking up about the disruptive and violent ramifications for the peace of Europe’s towns and cities of Mrs Merkel’s disastrous open-door policies.