According to the latest figures from the United Nations, 373 children have lost their lives so far in the four week conflict.
The charity's CEO, Justin Forsyth says the ads "lay bare the stark reality of the situation" in Gaza.
"To see the names of the children, some as young as a few months, written in stark black and white brings home the tragedy that has befallen Gaza's children," he said.
"One child's death is too many; 373 is an outrage that is a stain on the world's conscience.
"We condemn all indiscriminate attacks on civilians in Gaza and Israel and by publishing these names, we are reminding the world of the urgent need to push for a permanent ceasefire. We must ensure that no more young lives are needlessly sacrificed."
Save the Children is working on the ground in Gaza and the West Bank.
Last week the Guardian reported that the Israeli Broadcasting Authority had banned a radio advertisement there, from a human rights organisation, listing the names of some of the children killed.
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