The perpetrators of the attack on the church were two brothers and their married relative, said Jordanian General Abdullah al-Maaytah at a press conference on Monday.
On Friday, at least two people opened fire at a Greek Orthodox church in Karak, a city nearly 200 kilometers south of the capital, Amman, and home to a Christian minority.
Nine people were killed and around 20 injured. The attack took place during a funeral.
Jordan's King Abdullah II has said that those responsible will receive the "harshest possible punishment." The vast majority of Jordanians are Sunni Muslims, but freedom of religion is enshrined in the constitution. Three days of national mourning have been declared.
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