Dr John Sentamu wants a "phone fast" on the 25th so people can "focus on connecting with family and friends".
He's made his call as a survey found a quarter of us will check work emails on Christmas Day.
The questionnaire for Traidcraft said 24% of people would use their phone to do work on the big day instead of spending it with family.
Archbishop John said: "Christmas is a day of good news, a day of great joy and a day to give thanks.
"I would encourage all those not working on Christmas Day to focus on connecting with family and friends, to enjoy this time with loved ones.
"I love using social media and email because of the instant connection with the world they bring but have a 'phone fast' from work on this day!"
