The 40-year-old star has blasted claims circulating online about her father's health, in particular taking aim at an AI-generated video purporting to be the Paranoid rocker talking about his mortality.
She said in a video shared to her Instagram Story: "So, there's this video going around on social media, and it's supposed to be my dad, but it's AI.
"And it has a voice like my dad's David Attenborough or something. And it starts out saying, 'I don't need a doctor to tell me that I'm going to die. I know I'm going to die.'
"What the f*** is wrong with you people? Why would you spend your time making a video like this?
"He's not dying. Yes, he has Parkinson's, and yes, his mobility is completely different than it used to be, but he's not dying. What is wrong with you?"
Kelly then shared the video, which referred to a suicide pact that Ozzy's wife Sharon Osbourne previously claimed they had should either of them be close to death.
She said in another video: "Stop making articles or posts about how you think my parents are having a suicide pact. That was bulls*** my mom said to get attention one time.
"And my dad's not dying. Stop."
Ozzy has undergone seven surgeries in the past five years and he has also been living with Parkinson's disease since 2003.
Last weekend, he performed at his star-studded farewell concert in Birmingham.
The 76-year-old rocker was joined onstage at Birmingham's Villa Park by Tony Iommi, Geezer Butler and Bill Ward for the first time since 2005, as he prepared to say goodbye to performing live.
The stadium erupted into huge cheers when Ozzy appeared on stage and he told fans: "You have no idea how I feel."
Some 42,000 fans packed into Villa Park for the sold-out Back to the Beginning show, which saw Ozzy and Black Sabbath return to their hometown, 56 years after the band was formed in the city.
While he plans to continue making music, the rock legend has insisted Saturday's performance will be his final one on stage.
He told the crowd: "It's so good to be on this f****** stage. Let the madness begin! You've got no idea how I feel. Thank you from the bottom of my heart."
Ozzy performed a selection of hits including I Don't Know, Blizzard of Ozz and Suicide Solution.
Anthrax, Guns N' Roses and Metallica all performed during the 10-hour concert, while there were also surprise video messages from the likes of Dolly Parton and Jack Black.
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