The Most Reverend Stephen Cottrell becomes the 98th archbishop, taking over from Dr John Sentamu as the second most senior Church of England cleric.
A limited number of people were allowed to attend the socially distanced service, which was streamed online.
Archbishop Cottrell said he was “delighted and humbled” to take up the role.
“I have begun my ministry at a time of huge hardship and challenge and at the moment Covid19 is having a particularly devastating impact in the north,” he said.
“We don’t know how long the current restrictions will be in place. However, the worship and work of the church goes on bringing much needed hope, relief and practical help to the communities we serve.”
Archbishop of York enthroned in socially distanced service https://t.co/2pZ5bxaRUk
— Margaret M Bennett (@FLYFLEDGLINGFLY) October 18, 2020