The display, which includes chalices, crucifixes and a statue, has been formally blessed at Farm Street Catholic Church.
Many of the items have been damaged after the churches they were previously used at were destroyed.
It's hoped the shrine will allow churchgoers in the UK to draw closer to Christians in Iraq.
Parish priest Father Dominic Robinson SJ said: "I hope very much that the visit of these desecrated sacred items contributes to our sense of communion with our brothers and sisters struggling to practise their faith and shows us the power of hope through the Cross."
The temporary display has been made possible by Iraq's Chaldean Archdiocese of Erbil, which gave permission for the loan of the items.
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