In a statement following the shootings in which 12 people were killed, the Anglican leader said: "This is an act of the most extraordinary brutality and barbarity. This violence is demonic in its attack on the innocent, and cowardly in its denial of the basic human right of freedom of speech.
"The people of France, a country in which I have lived, which I know and love, will rise courageously above the challenge of this vile attack and continue to demonstrate strength and confidence arising out of their great history.
"Our prayers and thoughts are especially with those who have been killed and injured and their families. I pray also for those involved in pursuing the terrorists."
French police say they're still searching for two suspected attackers who've been named as Cherif and Said Kouchi.
Today has been declared a national day of mourning in France.
A minute's silence will take place across the country at 11am and the bells of Notre Dame cathedral in the capital will ring out.