As fighting between Israel and Hamas continues, far-right parties in Netanyahu's coalition government are blocking a new ceasefire deal, opposing it. The far-right parties have warned that they will withdraw from the coalition and bring down the government if the ceasefire deal is implemented. Netanyahu, who cannot ignore the will of the far-right to maintain his government, is in a situation where he cannot guarantee the implementation of the ceasefire.

The Israeli coalition government holds 64 seats in the 120-seat parliament, but the far-right faction, with 14 seats, is expected to cause the government to lose its majority and collapse if they withdraw. The far-right faction is led by Finance Minister Smotrich of Religious Zionism and National Security Minister Ben-Gvir of Otzma Yehudit. When US President Biden announced a new ceasefire deal in late May, including a permanent ceasefire, as a proposal from Israel, Smotrich argued that the fighting should continue until Hamas is destroyed and all hostages are rescued, emphasizing the need for the coalition to withdraw. Ben-Gvir also criticized the new proposal as a "trick."

The far-right faction argues for the need to encircle the Gaza Strip and eradicate Hamas's influence, along with the re-occupation of the West Bank, which is occupied territory. In particular, Smotrich has sparked controversy with his past claim that "Palestinians do not exist," and Ben-Gvir is known for his extreme remarks, having been convicted for incitement against Arabs. On June 8, "Jerusalem Day," which commemorates Israel's capture of East Jerusalem, where Jewish holy sites are located, during the 1967 Six-Day War, Ben-Gvir marched through the Old City of Jerusalem with many right-wing Jews, shouting, "All victories are ours," and urging the continuation of the fight against Hamas.

After Biden announced his new proposal, Netanyahu expressed a difference in opinion with the US, stating that the content was "inaccurate." This is seen by some as an attempt to appease the far-right faction, which could even go as far as withdrawing from the coalition. Netanyahu, who faced criticism from the public following Hamas's surprise attack in October last year, is likely to lose his position as prime minister if elections are held. Therefore, he must prevent the far-right parties from withdrawing to maintain his government, a situation that could further deadlock ceasefire negotiations.

Meanwhile, the Israeli army announced on June 30 that they had rescued a female soldier who had been held hostage by Hamas in a ground operation. This was the first hostage rescue since the fighting began in July. However, Hamas released a video on social media showing three women believed to be Israeli hostages, condemning Netanyahu and demanding the release of Palestinian prisoners, as required by Hamas. This is seen as part of Hamas's pressure tactics.

The Israeli army is currently deploying additional ground forces to advance in the northern and eastern parts of the Gaza Strip, leading to clashes with Hamas in various locations. The fighting between Israel and Hamas is likely to continue for an extended period, and the international community is expressing concern over Israel's attacks while urging humanitarian aid for the people of Gaza.