At least 23 people are reported to have been killed and a further 25 wounded.
Minya is home to a sizable Christian minority.
Christians make up around 10 per cent of Egypt’s 92 million population and have repeatedly been targeted by Islamic extremists.
It is the latest fatal attack on Copts in Egypt in the past few months, after more than 45 people were killed in a double suicide bombing in April, when terrorists attacked churches in Tanta and Alexandria on Palm Sunday.
ISIS claimed responsibility for both bombings.
No group has yet claimed responsibility for the latest atrocity.