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".
More top news
Temperatures tumbling again tonight with a widespread sharp frost and lows of -5C or -6C and icy spots in places
The victim was shot in the arm in a 'drive-by' shooting.
Ewan McGregor was joined by co-stars Jonny Lee Miller, Ewen Bremner and Robert Carlyle at the world premiere of the Trainspotting sequel.