The UN board's first recommendation seeks "formal acknowledgment" by Israel that its initial public statement that Palestinians had fired from the school grounds and from within the UN field office compound "were untrue and are regretted".
A later Israeli inquiry said militants had fired from a site about 80m away from the school.
Israel also contends that Hamas militants had positioned themselves near the UN relief agency headquarters.
Another recommendation says the UN should take appropriate action to seek reparation for all deaths and injuries involving its personnel and property.
The report says Israel's actions were in breach of the agreement that UN premises and those sheltering within them should be immune from attack, something which cannot be set aside for military action.
The board says investigating the deaths outside the UN school is outside its remit.
It recommends that this and allegations of war crimes committed in Gaza and southern Israel by Palestinian militants and Israel should be investigated by another inquiry.
UN Secretary General Ban Ki-moon has stressed this report is not a legal document.
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