"Hamas condemns this move since it is based on the premise that the Hamas movement is hostile," spokesman Sami Abu Zuhri told AFP.
"This is a dangerous development, which confirms that the current powers in Egypt are giving up on national causes and even using these issues to deal with other parties -- first among them the Palestinian cause."
Morsi will be quizzed on whether he collaborated with Hamas in attacks on police stations and prison breaks in early 2011, in which the Islamist and other political inmates escaped during the revolt against strongman Hosni Mubarak, according to reports in the Egyptian official MENA news agency.
"We call on the Arab League to uphold its responsibilities in the wake of these dangerous developments, and also call on the Arab people to express their position in the face of this dangerous incitement against the Palestinian resistance and people," Abu Zuhri added.