Hamas agreed to the peace deal primarily due to intense diplomatic pressure from Arab and Muslim countries such as Turkey, Egypt, and Qatar, which was influenced by U.S. President Donald Trump's efforts in mediation. Additionally, the humanitarian crisis in Gaza, including hunger and destruction, put pressure on Hamas domestically, where people wanted the war to end. Realizing that no other way to stop the war was viable, Hamas agreed to release hostages and sign the first part of the peace deal, which included a staged ceasefire and prisoner exchanges but did not require complete disarmament or surrendering governance in Gaza immediately.

The deal involved staged hostage releases from Hamas in exchange for the release of Palestinian prisoners by Israel, humanitarian aid allowances, and partial withdrawals of Israeli forces, aiming for a "sustainable calm" and reducing violence in Gaza. However, Hamas did not agree to disarm or forgo influence entirely but was offered amnesty for members committing to peaceful coexistence or leaving Gaza safely.

In sum, Hamas's agreement was a pragmatic response to external diplomatic pressures, internal humanitarian needs, and the realization of limited options to end the hostilities under current conditions.