Hooligans will be banned from London 2012 football matches north and south of the border, under powers introduced this month.
Anyone with a banning order will be barred from the Games football tournament, to be staged in Glasgow and Cardiff as well as venues in England.
They will also ensure Football Banning Orders (FBOs) are automatically recognised across Britain, no matter where they are imposed.
Home Office minister Alan Campbell said: “Football hooligans have no place in the modern game – whether it is in the lower divisions, the Premier League or at London 2012.
“We are determined to deliver a safe and secure Games in keeping with the Olympic spirit.
“These powers will help police achieve that and provide yet another weapon to crack down on hooligans across Britain.”
Scottish Secretary Jim Murphy said: “Football is our national game, enjoyed by millions of people across Scotland and the rest of the UK.
“Our message today is that there is simply no place for hooliganism or anti-social behaviour at matches and as a Government we have been determined to make the game as safe as possible for fans across the country.
“We promised to close the loophole and ensure that anyone given a football banning order would be able to attend matches in Scotland, no matter where their offence was committed.
“We have done so today and I am glad to see that same minority of so-called fans will also be banned from any Olympic football matches at Hampden."
Under the old rules, FBOs were not automatically recognised either side of the Scotland/England border without a special reporting letter being issued by the Banning Order Authority.
Now the orders will be enforced equally in England, Scotland, Wales and Northern Ireland, no matter where they are imposed, and will apply retrospectively. The legislation follows a pledge made in the Policing and Crime White Paper to close the loophole.
British football matches are now safer than ever, with a record low number of arrests in England and Wales, with just 0.01% of 37 million fans detained last year.
There are 3,141 fans in England and Wales and 83 in Scotland subject to FBOs. Research shows 92% of all those subjected to orders are deemed to be no longer a threat once they expire.
