The 38-year-old has previously spoken about the difficult relationship she had with her father Peter but she has lamented being left "alone" with "complex emotions" to deal with after his death.
Rose posted on her Instagram story on Monday: "R.I.P Dad.
"You leave me. Alone. With many complex emotions."
Rose grew up on a farm in Victoria with Peter and her mother Katia but when she was one, they split and the star did not see her dad "for a long time" and ended up becoming a "gypsy kid", moving around a lot.
"I didn't see my dad for a long time but when I hit adolescence I went through that period of self-discovery and wanted to know where I came from," she told the Sydney Morning Herald in 2011.
"I had my trust broken a lot by my dad and in life it all comes down to trust. You learn that very early on."
The former Orange is the New Black star has largely retreated from the spotlight after quitting her lead role in Batwoman after just one season in 2020.
Rose subsequently complained of unsafe and hostile working conditions.
"I'm going to tell the whole world what really happened on that set … I will come for you so what happened to me never happens to another person again. And so I can finally take back my life and the truth. Shame on you. (sic)", she said on Instagram at the time.
Rose later discussed the injuries allegedly suffered by cast and crew members during production.
Warner Bros later denied the allegations.
"Despite the revisionist history that Ruby Rose is now sharing online aimed at the producers, the cast and crew, the network, and the studio, the truth is that Warner Bros," the company said in a statement.
"Television had decided not to exercise its option to engage Ruby for season two of 'Batwoman' based on multiple complaints about workplace behaviour that were extensively reviewed and handled privately out of respect for all concerned."
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