Most Rev Justin Welby has called upon Prime Minister Theresa May to create a cross-party commission to help her during EU withdrawal negotiations.
Writing in The Mail On Sunday, he said: "We need the politicians to find a way of neutralising the temptation to take minor advantage domestically from these great events.
"We must develop a forum, or commission, or some political tool, which can hold the ring for the differences to be fought out, so that a commonly agreed negotiating aim is achieved.
"The future of this country is not a zero-sum, winner takes all calculation but must rest on the reconciled common good arrived at through good debate and disagreement."
Archbishop Justin contrasted the "spirit of Grenfell" displayed in response to the recent tower block fire in north Kensington with the "zero-sum, winner takes all" rows over Brexit in Westminster.
The Anglican leader compared the current situation with the two world wars, during which Britain was run by coalition governments.
Explaining the proposed commission, the Archbishop said: "It would be under the authority of Parliament, especially the Commons.
"It would need to be cross-party and chaired by a senior politician, on Privy Council terms. It could not bind Parliament, but well-structured it could draw much of the poison from the debate."