Nikos Dendias, public order minister, said emergency legislation would be tabled that would seek to outlaw the group, adding that the attack showed "in the clearest way (the party's) intentions."
Prominent ant-fascist Pavlos Fyssas, 34, died after around 30 Golden Dawn supporters attacked him and seven of his friends.
A 45-year-old man has allegedly confessed to the stabbing of Fyssas' - also known as Killah P - and was pictured today being escorted by a policeman as they left the prosecutor's office in Piraeus, near Athens.
Protests and violence erupted after the death of the anti-fascist campaigner with Greece's deputy Prime Minister Evangelos Venizelos saying the group must be treated as a "criminal organisation".
Protests in the the Greek capitol turned violent after the fatal stabbing of anti-racism rapper Killah P.Read the full story ›
Thousands of protesters have took to the streets of Athens to protests the murder of anti-racism rapper Killah P.
A 45-year-old man arrested over the alleged stabbing of an anti-fascist activist has admitted being a follower of Greece's far-right group Golden Dawn, according to media reports.
Golden Dawn has condemned the killing and denied having any involvement, accusing people of using the "tragic event" for political ends.
The far-right party, which has 18 MPs in the Greek parliament, has repeatedly been accused of violence towards its political opponents.
A 34-year-old man killed in a knife attack in Athens has been named by local media and political organisations as the campaigner Paul Fyssas.
Fyssas was well known as an anti-fascist activist and a rapper who used the stage name Killah P.
His family were also known in the area for their left-wing activism, according to a Greek news agency.
Police in Greece have arrested a man in connection with the fatal stabbing of an anti-fascist campaigner in Athens in the early hours of this morning, according to local media reports.
Paul Fyssas, who is also known by his rapper name Killah P, is reported to have got into an argument with the suspect after a football match in a late-night cafe in the Piraeus suburb.
Witnesses say the 34-year-old activist and his friends were attacked by a gang of 10-15 individuals outside the venue. Fyssas was reportedly pursued by a car before the driver approached him and stabbed him several times.
Several Greek newspapers report that police have stormed the offices of the right-wing Golden Dawn party following the incident, and that the party has denied any involvement.
An earthquake has rattled the Greek capital Athens causing buildings to shake for several seconds, witnesses have reported.
There were no immediate reports of casualties or damage, police and fire brigade officials said.
Data from the US Geological Survey showed that the magnitude 5.1 quake struck north-east of Patras at a depth of 9.7 miles.
Large parts of Athens were flooded today in one of the heaviest torrential downpours the city has seen in decades.
A woman was killed in the severe weather conditions in Athens.
ITV News' Martha Fairlie reports:
More than one month's rainfall fell in just a couple of hours as powerlines faltered and darkened large parts of the city during the overnight cloudburst.
A river broke its banks and traffic jams brought much of Athens to a standstill in the morning rush hour.
Police said a 27-year-old woman died of a probable heart attack after being trapped in her car in the northern suburb of Halandri.
"This is the worst storm since 1961. We're talking about 52 years without ever having seen such a heavy downpour in this area," meteorologist Yannis Kallianos told state television.