In an open letter to every church, school and chaplaincy in the Diocese of Oxford they say it is a critical moment in our national life.
Signed by Rt Rev Steven Croft, Rt Rev Alan Wilson, Rt Rev Colin Fletcher and Ven Olivia Graham, the letter says that while the government has done a great deal to ensure a smooth Brexit, we all have a role to play in ensuring our country thrives.
"There is an important role at this time for practical expressions of love and hope by communities and individuals," they suggest.
Recognising the division across the country that comes from Brexit, the bishops state: "Our nation is divided about our future relationship in Europe.
"Our calling as the Church in these times is not to take sides in this debate but to continue to be the Church for everyone.
"There are leavers and remainers in every congregation, but this can never be our primary identity as Christians."
In response, the bishops have suggested 12 ways to love our neighbours in the coming weeks.
These include giving more to foodbanks, showing friendship and hospitality to EU nationals and looking out for the lonely, the anxious and the vulnerable.
Christians are also encouraged to pray in both public and private.
The list of 12 has been made into a poster which is free to download from the Diocese's website.
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