Most Rev Justin Welby also urged Europe's politicians to deliver "fair and sustainable solutions" for the UK-EU relationship after Brexit.
In a joint message released with German Bishop Heinrich Bedford-Strohm, he said: "European relationships are changing, not least as a result of Brexit.
"We do not know what will happen and what the relationship between the UK and EU will look like after 29th March 2019.
"However, what we do know is that the relationship between the Church of England and the Evangelische Kirche in Deutschland goes back over many centuries - long before the European Union.
Our world needs a better future than one based in hatred and division. It's the task of the church to bear witness to the love of God, across borders, as sisters and brothers in Christ.— Archbishop of Canterbury (@JustinWelby) November 16, 2018
Joint statement with Bishop Heinrich @landesbischof of @EKD: https://t.co/aQZryzu33O pic.twitter.com/iVSddj2uLy
Bishop Heinrich, the council chair of the Evangelical Church in Germany, has been on a two-day visit to London hosted by Archbishop Justin.
Their statement continued: "As churches, we urgently appeal to all politicians to find fair and sustainable solutions for the future coexistence of the UK and the EU."
"As some politicians and political forces seek to drive a wedge between people so it is all the more important that the churches continue to strive for reconciliation and to speak out prophetically for a Europe where the values of human rights and human dignity are central, based in the great Christian traditions of our two countries when at their best."
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