Hollande gave a "solemn promise" to do everything possible to "destroy the army of fanatics" that claimed responsibility for the Paris attacks in a 15-minute speech at the Invalides monument in Paris.
France was "struck in its heart" by an "act of war organised at a distance" by a "horde of murderers" acting "in the name of an insane cause and a god they have betrayed", he went on.
They wished to "bury joy", the president said, but "we will not give on to fear or hatred ... there will be more songs, more concerts, shows, we will carry on going to [sports] stadiums".
"France will remain herself, as the deceased loved it and as they would have wished it to remain," Hollande declared.
Noting that the victims' average was 35, he said that this "rising generation" has become "the face of France".