The private court case is being held at Washoe County Courthouse in Reno, Nevada.
Media outlets have been barred from the proceedings, which are expected to unfold with testimony from the media titan and the four children named in the trust over the next week, according to the New York Times, which first brought the dispute to light after obtaining copies of sealed court documents.
These types of family battles often end in settlements. The case could also be prolonged, if it ends in a decision that one side chooses to appeal against.
Prudence is Mr Murdoch’s eldest child, from his marriage to his first wife Patricia Booker.
He had Elisabeth, Lachlan and James with second wife Anna Mann, whom he was married to from 1967 to 1999.
Grace and Chloe’s mother is Wendi Deng, who was married to the billionaire from 1999 to 2013.
Mr Murdoch’s fourth marriage was to model Jerry Hall in 2016, with the couple divorcing in 2022.
He recently married his fifth wife Elena Zhukova in June this year.
