In a statement, the Isreali military said fighter jets, attack helicopters and tanks hit Hamas underground infrastructure and military posts.
The strikes came as visiting Egyptian security officials strove to defuse the latest uptick in violence, a Hamas source said.
Israeli fire services in the border areas reported 28 outdoor fires Sunday, and farmers said that extensive damage was caused to an avocado orchard.
Palestinian militants in Gaza fired two rockets into southern Israel after Israeli airstrikes targeted sites belonging to the territory's militant Hamas rulers.
Isaias weakened from a hurricane to a tropical storm late Saturday afternoon, but was still expected to bring heavy rain and flooding as it barrels toward Florida.
The UN rights office said Tuesday it seemed any Palestinian protesting in Gaza, regardless of whether or not they posed an imminent threat, was "liable" to be killed by Israeli forces.
The US came to the defence of its ally Monday, blaming Hamas for the violence and blocking a resolution at the UN calling for an international investigation.
There was barely any mention of the Gaza violence at Monday's lavish inauguration ceremony for the new embassy, an upgraded consular building located just 80 kilometers away.
President Ramnath Kovind inaugurates the event in presence of Chief Minister Siddaramaiah and other dignitaries.
The 88th Mahamastakabhisheka is an event of many firsts. It is for the first time in the Mahamastakabhisheka’s 1037-year history that a woman from the Jain community is heading the celebrations.
Hamas said President Donald Trump's decision on Wednesday to recognise Jerusalem as Israel's capital would "open the gates of hell" on US interests in the region.
The Israeli military said it has identified two residential buildings in the Gaza Strip as potential military targets after discovering Hamas tunnels underneath them.
The court, however, removed Sri Lanka's Liberation Tigers of Tamil Eelam from the 28-member bloc's terror list, BBC reported.