ACTU President Michele O’Neil addressed the National Press Club on 28 March , and in response to a question by a journalist from The Australian Newspaper, she replied (around 51:20 in video):
The ACTU has a longstanding policy opposition to nuclear power, nuclear waste and proliferation. And we also have a longstanding policy position that supports a nuclear-free defence policy. These are not positions that have been developed in the last weeks or months. They’re decades-long, and our position hasn’t changed.
The text of her speech to the Press club is available here.