Two men with ties to ISIS, stormed a church demanding that a priest kneel at the altar and then killed him.
Father Jacques Hamel was conducting morning mass in his church.
One of the two men who attacked him was wearing an electronic surveillance tag, which was temporarily turned off under his probation conditions.
The attack came 12 days after the attack in Nice in which 84 people were killed.
After meeting the religious representatives, President Francois Hollande will hold his security and defence council, and then the cabinet will meet.
On Tuesday Mr Hollande appealed for "unity" as he warned that the war against terrorism "will be long".
"Our democracy is the target, and it will be our shield. Let us stand together. We will win this war," he said.