The Home Secretary is writing to the Crown Prosecution Service and all courts to encourage them to place restriction orders on offenders in an attempt to limit violence at the tournament in France.
Under the Football Spectators Act, people convicted of soccer-related offences can be made subject to an order which prevents them from travelling abroad to matches involving England and Wales.They must report to a police station at the time the game is taking place and can be prosecuted if they do not comply.
But Detective Inspector Peter Chapman, who heads the National Criminal Intelligence Service's hooliganism unit at Scotland Yard, yesterday questioned whether the anti-hooligan legislation was tough enough.
He told BBC Radio 4's The World At One that the legislation, used only 10 times since 1989, contained an "anomaly" because the police could not arrest a convicted hooligan until he failed to report to police at an appointed time. He gave the example of someone obliged to report at 4pm on Saturday. "The nonsense of it is: I can see that individual pass through Heathrow five or six hours earlier, knowing full well he is going to that particular football match and can't do anything about it. I don't have the power to stop him."
Mr Chapman said the problem had been raised with Tony Banks, the sports minister.
The Football Supporters' Association (FSA) also warned that Mr Straw's plans were unworkable and would not tackle the root of the problem.
Alison Pilling, international officer of the FSA, said using the orders would not help because they would only apply to people convicted between now and the World Cup finals, not to people who already have convictions. "It is not really going to have much effect as a measure against hooligans and ... I think it is going to prove unworkable."
The real problem, she added, was how the tournament was organised. "The police need to be taught how to deal with the problem of a small group of hooligans when the vast majority of fans in the ground are being well- behaved.
"As we saw in Rome, the problem was really bad organisation before the game and the Italian police being very heavy-handed because they did not know how to deal with a small group of troublemakers."
Mr Straw told the Sun newspaper today that it was personal experience of "grotesque" thuggery that had prompted his concern. "I am determined not to let the good name of English football be wrecked by yobs hellbent on trouble-making."