Welsh Labour moves to ditch strike rules in NHS and schools
Finance Secretary Mark Drakeford told BBC Wales it was "absolutely not the case" that Labour was acting in the interest of unions, not the public.
"Employers in our public services are in support of the way we are bringing this bill forward," he said.
"They see that this is the right way to do things for Wales as well."
He added: "Of course the unions have a legitimate interest in this but the employers and the assembly were both in support of the way we are doing things as well."
Before the 2016 assembly poll, most AMs voted against applying the Trade Union Act to Wales, with only the Conservatives voting in favour.
The UK and Welsh governments disagreed over whether the assembly's permission was needed before the new rules applied to workers in Wales.
A Welsh Conservative spokesman said the Trade Union Act was about "ensuring Wales' public services are not unduly disrupted without a fair mandate".
He added: "Across Wales, ordinary union members are getting sick and tired of being held to ransom by union general secretaries, living out their political fantasies against the will of the workers."
The UK government said: "We will examine the Welsh Assembly's proposed legislation when it is introduced but we remain clear that decisions over industrial relations law is a matter for UK government.
"Ordinary working people have a right to expect protections from undemocratic strike action and the Trade Union Act will do just that.
"The assembly will have to explain to the Welsh public why it wants to repeal these."
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