Jacinta Allan wants the ALP national executive to make the call amid allegations the union has been infiltrated by bikie gang members and organised crime figures.
"What we have seen here in recent days isn't unionism, it's thuggish, unacceptable behaviour at its worst," Ms Allan told reporters on Monday.
"The union itself has acknowledged that it needs to fix its conduct and shouldn't have anything to do with the Victorian branch of the Labor Party until it does."
Ms Allan will also ask the Victorian Labor Party to immediately stop accepting political donations from the CFMEU.
Statement from the Premier. — Jacinta Allan (@JacintaAllanMP) pic.twitter.com/1GKcRPg8txJuly 15, 2024
The union will be referred to Victoria Police and the state's anti-corruption watchdog.
The Labor government will toughen anti-bikie laws to make it easier for police and courts to stop certain individuals from associating with each other.
A request will be made to the federal government to exercise powers under the Fair Work Act to review and potentially terminate enterprise agreements on Victorian construction sites to prevent criminal activity.
The state will also conduct an independent review, in consultation with the federal government, to strengthen the powers of Victorian agencies who engage with construction companies and unions.
Nine has published a series of newspaper and television reports on its investigation into criminal links within the construction division of the CFMEU.
Ahead of the reports, Victorian union boss John Setka immediately stood down from his position on Friday citing "false accusations" and "malicious attacks".
The national executive of the CFMEU has put the Victorian branch into administration and its national secretary Zach Smith said he opposed calls for it to be deregistered.
"We should be careful about denying workers and construction workers a voice in the political process," he told AAP.
Mr Smith said he didn't know how any potential termination of an enterprise bargaining agreement would work on a practical level.
"We can't have a situation where workers are relying on an enterprise agreement to underpin their wages and conditions at work and overnight, through no fault of their own, that protection is stripped away and they have no certainty over their wages and conditions," he said.
He added the union would cooperate with any police and corruption investigations but the donations ban was not a priority for him at this point.
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