Hindley took up the position in May 2017 while the club was owned by Jason Clark.
But Clark this week sold his shares to Paul Williams, Paul Tomkins and Niall Robertson.
A change in ownership was welcomed by Hindley but he has today stood down from his role.
Stuart Lowe has also left his role as assistant manager.
Craig Spink will take charge of Tigers’ match at home to Pontefract Colleries on Saturday.