GAA members voted by almost two to one against amending Rule 42, which prevents 'foreign sports' from being played in association grounds. Only sports such as hurling and Gaelic football are allowed in GAA stadia.
Under the terms of the joint bid, Scotland provides six stadia and Ireland must provide two for the tournament.
The only Irish stadium now available is Lansdowne Road, in Dublin, which will have to be upgraded if it is to meet UEFA standards.
"The chance of hosting this tournament is now in doubt as it is very difficult to see how the stadium criteria can be met," Mike Russel, the shadow Minister for Culture and Sport in the UK, said.
Scotland is still unlikely to make a solo bid for the championships. "The Irish have committed themselves to providing two stadiums as part of the joint Euro 2008 championships bid," said Jack McConnell, Scotland's First Minister. "They have never identified which stadiums and this is not necessary under the conditions of the bid. The joint bid is still on course."
