Mr Hinde handed in his notice of resignation this morning (March 7) but has not said why he is stepping down.
A spokesman for Bridlington Town Council said: "The Council would like to thank Mr David Hinde for his services and wish him well for the future.
"A further announcement will be made in due course about the position of Town Crier."
Mr Hinde, who boasts the title of world's loudest town crier, first took on the role in February 2012.
The well-known figure in Bridlington recently rose to fame for his appearance in the Dad's Army Film.
Mr Hinde's appointment four years ago brought an end to a 111-year period of Bridlington being without a crier.
He has since attended dozens of public events and also promoted Bridlington at national competitions, many of which he won.
It is not known whether Mr Hinde has stepped down from his other role as chairman of Bridlington Old Town Association.