He has said some individuals repeatedly undermined efforts by the landmark's governing body, the Chapter of York, to enforce safeguarding, security, health and safety rules.
Delivering a statement from the Dean and Chapter of York Minster, the Archbishop said: "Repeated disregard of the Chapter's attempts to fully implement the Church's national policies for safeguarding, health and safety and security meant that decisive action was required."
He also recalled a decision taken over the summer, "in line with advice from safeguarding professionals" to "take action" against a member of the York Minster Society of Change Ringers "on safeguarding grounds."
The Archbishop added: "Some members of the York Minster Society of Change Ringers have consistently challenged the Chapter's authority on this and other important matters."
Meanwhile, a petition calling on York Minister to reverse its decision so the bell-ringers can perform on Remembrance Sunday, Christmas Day and New Year's Eve has been signed by more than 16,000 people.
Writing on the petition's webpage, organisers write: "Since the end of WW1, bells have been rung every single year, except during WW2, to commemorate those who have fallen.
"We request that the Minster honour tradition by allowing the ringers to ring."
They also allege the Minster suspended the "loyal bell-ringing team "with absolutely no prior warning".
Dr John Sentamu said arrangements for bell-ringing at the Minister will be made at the start of the new year.