The official tells the BBC that the armed group will not move forward with talks until Israel fully complies with its commitments.
The Israeli strikes reportedly targeted Hamas security personnel after they clashed with an Israeli-backed militia near Maghazi camp.
With the world focused on the Iran war, there is increasing uncertainty about what happens next for Gaza.
Dr Rahmeh Aladwan, a British Palestinian, is remanded in custody ahead of a court appearance.
Hanin Barghouthi was accused of supporting the proscribed organisation during a speech in Brighton.
The strikes are among the deadliest in Lebanon since a ceasefire ended the war between Israel and Hezbollah.
The armed group is electing a new head after its top leaders were killed by Israel.
Trump said it "looks like" Hamas will disarm, even though there are signs the group is regrouping.
Gazans say Hamas is again extending its control over security, tax revenue and government services.
