According to Jin10, Lebanese Hezbollah rejected any partial ceasefire agreement with Israel on June 2. Senior official Mahmoud Kumaiti said the group and its allies would not accept a deal limiting Israeli strikes on southern Beirut in exchange for halting attacks on northern Israel, demanding instead a full and comprehensive ceasefire rather than returning to pre-conflict conditions.
Israeli military continued airstrikes on southern Lebanese towns including Doueira and Nbaityeh on the same day, killing at least 12 people and wounding 4, including Lebanese government military personnel, according to Lebanon's National News Agency. Hezbollah said its armed members launched retaliatory attacks against Israeli forces in southern Lebanon early on June 2.