The star, who has legally changed his name to Ye, posted a video of his campaign logo to social media, alongside the caption 'Ye 24'.
He also claimed to have asked Donald Trump to be his running mate.
West previously ran for president in 2020, but that campaign flopped, attracting a meagre 70,000 votes.
His latest claims came in a video posted after he was spotted at Trump's Mar-A-Lago golf club earlier this week, accompanied by Nick Fuentes, a prominent white nationalist.