The Anglican Diocese in Europe is working on the frontline with refugees and is appealing for help to provide emergency medical support, food, shelter and pastoral care.
Bishop in Europe David Hamid said: "Thank you so much for your support at this critical time.
"Due to staffing limitations in our diocesan office, we have invited Us to collect and transfer consolidated funds to the diocese for use in Greece, Hungary and wherever there is need.
"We have an efficient process agreed that will help our partners working on the ground."
So far this year up to 160,000 people have arrived in Greece with most fleeing violence and poverty in Syria, Afghanistan and Eritrea.
The Diocese said the need for healthcare was "particularly acute" and that many refugees need urgent help in Greece but the country is unable to provide it.
In Hungary, volunteers from the Church and community have been distributing aid packages as people arrive
At the weekend Christians gave packages to refugees at Keleti International Train Station.
Revd Dr Frank Hegedus from St Margaret's Anglican Church in Budapest said: "The refugees appeared well dressed and groomed, though also obviously exhausted from their journey.
"The language barrier was sadly formidable, but there was absolutely no sign of violence or disturbance."