The terminals were rushed in to help Ukraine after Russia's February 2022 invasion and have been vital to Kyiv's battlefield communications.
The satellite internet service also agreed not to grant access to humanitarian organizations inside Gaza without the approval of Israel’s defense establishment.
Prime Minister Benjamin Netanyahu is also due to meet Musk on Monday to discuss the security aspects of artificial intelligence and hold a live online discussion, Netanyahu's office said.
The news comes in the wake of a report from NetBlocks that internet connectivity had largely collapsed in the Hamas-controlled enclave.
The Russian leader said Moscow planned to persevere with its own space program despite the failure of a mission to the Moon last month.