"Now is the appropriate moment to go. I led Yorkshire to promotion last season and we have stayed up this year," he said. "I am proud of my record and will support to the hilt whoever takes over."
White has one year left on his contract and the favourite to replace him is his predecessor Anthony McGrath, who gave up the captaincy when he was first selected by England. However, his international days now appear behind him and he would bring plenty of experience to the role.
Another former England player, Richard Dawson, will have to find a new county for next summer after being released from Headingley. The emergence of Adil Rashid and Mark Lawson, the legspinners, has meant Dawson was languishing in the second team for the latter half of the season.
Stewart Regan, the chief executive, said Dawson's salary was unsustainable for a player not in the first team.