The Israeli military announced what it called a precise operation to kill members of Hamas in Gaza on Thursday, a day after a strike there killed relatives of one of the group’s most senior leaders.

Ismail Haniyeh, who leads the political wing of Hamas from exile, said three of his sons had been killed in the Israeli airstrike in northern Gaza on Wednesday. Hamas-affiliated media reported that three of Mr. Haniyeh’s grandchildren also were killed in the attack.

On Thursday, Israel’s military said that its forces had carried out a “precise, intelligence-based operation” in central Gaza overnight with fighter jets and ground troops to “eliminate terrorist operatives and strike terrorist infrastructure.”

It was not immediately clear whether the operation was related to the strike a day earlier against Mr. Haniyeh’s sons, who the Israeli military said had been “on their way to carry out terrorist activities in central Gaza.” It did not provide further details, and the military’s claims could not be verified.

The Israeli military said that the three Haniyeh sons it killed — Amir, Mohammad and Hazem — were active in Hamas’s military operations, Amir as a cell commander and his brothers as lower-level operatives. One of the brothers was also involved in holding hostages, the Israeli military said, without specifying which one.

The strike came as international negotiators work to broker a cease-fire in Gaza and secure the release of hostages held in the enclave. Those talks have stalled over disagreements about the details, with a senior Hamas official saying Wednesday that the group did not have 40 living hostages who met the criteria for an exchange under the proposal being discussed.