Al-Aqsa Martyrs Hospital said the two men were hit near the ceasefire line that divides the enclave, with one half under Israeli military control.
They were hit in eastern Deir al-Balah, the hospital said, adding that it also received the body of a woman who was killed by Israeli gunfire in central Maghazi refugee camp.
Israel's military did not immediately respond to questions about either strike.
It has previously said its forces respond to ceasefire violations or attacks on its soldiers.
The Gazan health ministry, part of the Hamas-led government, on Tuesday said 586 Palestinians had been killed since the start of the ceasefire, bringing the cumulative toll to 72,037 killed since the start of Israel's offensive.
Deadly Israeli strikes have repeatedly disrupted the truce since it took effect on October 10.
The escalating Palestinian toll has prompted many in the Gaza Strip to say it feels like the war has continued unabated.
Yet parts of the agreement outlined in last year's ceasefire are moving forward.
After a chaotic first week, officials say more Palestinians are entering and leaving the Gaza Strip for Egypt via the reopened Rafah crossing.
Plans for an international peacekeeping force meant to provide security in the enclave are also beginning to take shape.
Indonesia said on Tuesday that its military had begun training personnel to serve in the Gaza Strip, specifically for reconstruction and humanitarian response.
Its army chief of staff said between 5000 and 8000 troops were preparing to deploy.
Vahd Nabyl Achmad Mulachela, a spokesman for Indonesia's foreign ministry, said Indonesian troops would not take part in disarmament - one of the most contentious and unresolved elements of the peace plan.
Indonesian President Prabowo Subianto told the United Nations General Assembly in October that his country planned to contribute troops.
Israel and Hamas remain divided over the timeline and scope of Israel's withdrawal and the demilitarisation of the enclave after nearly two decades of Hamas rule.
The temporary International Stabilisation Force outlined last year in US President Donald Trump's 20-point peace plan - among the key components of that effort - is envisioned as a later phase of the plan.
