Izzat al-Risheq, one the group's political leaders, said Wednesday morning that "we have no choice but to struggle and to win." The security cabinet is expected to meet around noon in Tel Aviv.
Following the late night attack in Gaza, Palestinian sources reported three casualties: Mohammed Deif's 28-year-old wife and his eight-month son, as well as 18-year-old Ahmed Rabah al-Daulo.
Hamas called on members of the public to attend the funeral procession of Deif's wife and baby son, which will leave from the Jabalia refugee camp in the northern Strip.
Hamas leader Mousa Abu Marzouk charged on Wednesday after Gaza truce talks collapsed in a spasm of violence that Israel had targeted the group's armed wing leader Mohammed Deif in one of its air strikes on Tuesday in the coastal territory.
The IDF would not specify any of the targets of some 30 attacks across Gaza in response to rocket fire aimed at Israel. Marzouk said Israel had ruptured the truce alleging it was in order "to assassinate Mohammed Deif," but that civilians were killed at the site of the attack.
Hamas' military wing called on Israel to "reveal the real reason behind the cowardly act they committed when they bombed the home of the Dalou family" at the Sheikh Radwan neighborhood in Gaza City.
A member of the Palestinian delegation in Cairo said the heavy barrage of rockets fired on Tuesday night was a response to the "massacre" at the al-Dalou home.
Roi Kais and Attila Somfalvi contributed to this report.