Batasuna got 140, 000 votes, 10 percent of the total vote, in Basque regional elections in 2001.
Judge Garzon has frozen Batasuna's bank accounts and forbidden its leaders to organise demonstrations.
ECONOMIST: A ban on Batasuna will not be the end of the terror story
Three Basque parties, including Herri Batasuna, now hold 41 of the assembly's 75 seats.
Police have closed at least 12 local Batasuna offices in Spain's Basque region since Tuesday's suspension order.
Mr Aznar has a parliamentary majority behind him for his assault on Batasuna, and most Spaniards back him.
ECONOMIST: A ban on Batasuna will not be the end of the terror story
Some, including Mr Ibarretxe, are still urging Herri Batasuna to condemn the violence and join mooted all-party talks.
Aznar blasted ETA's political arm, Herri Batasuna, calling them "accomplices" to the murder and asking Spaniards to isolate them.
Batasuna's leaders were not immediately arrested under the injunction but were unable to use the party banner or trappings.
Politically moderate Basque leaders have said that outlawing Batasuna will not lead to peace in the troubled Basque region.
He said Herri Batasuna would continue to work for peace and maintain its links with the main Basque nationalist parties.
Batasuna says it will appeal against any legal ruling banning the party.
On August 27th, the Basque regional police began to implement a legal order to shut down Batasuna offices throughout the Basque country.
ECONOMIST: A ban on Batasuna will not be the end of the terror story
In addition, Batasuna was cut off from public funding for political parties.
Now he has called on his party to stop co-operating with Herri Batasuna in local councils, where the extremists have strongest roots.
The court ruling comes two months before May 25 municipal elections, when Batasuna would have presented dozens of candidates for Basque town councils.
Spanish officials said evidence shows that Batasuna helps finance and support ETA. Police say 400 Batasuna members have joined ETA over the years.
Mr Ibarretxe put his Basque regional government together in the autumn of 1998 with support from Herri Batasuna and a smaller nationalist splinter.
The injunction led to the closure last August of Batasuna offices in numerous towns, including the three main Basque cities, Bilbao, San Sebastian and Vitoria.
Earlier a senior member of Herri Batasuna, Patxi Zabaleta, said there were no political reasons to justify ETA's decision which went against the will of the Basque people.
The law did not mention Batasuna by name but allowed the government to ask the Supreme Court to outlaw parties that actively support terrorism or are apologists for it.
Batasuna can appeal the Supreme Court ruling to Spain's top tribunal, the Constitutional Court, but the ban on Batasuna is due to take effect in the coming days even if there is an appeal.
Meanwhile, since the Basque Nationalists are no longer co-operating with Herri Batasuna in the Basque parliament, they are now a minority government which could, at any time, fall to a vote of no confidence.
Bush announced that the United States would place financial sanctions on Batasuna, a Basque nationalist political party that the Spanish government says is the political wing of ETA, a militant separatist group fighting for an independent homeland.
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