In Gaza, the sky lit up with outgoing rocket fire.
On the Israeli side of the border, residents said they had stayed close to shelters throughout the night.
On Monday, more than 300 rockets from Gaza were launched into southern Israel, the country's military said.
Israeli medics say a 19-year-old man was critically wounded when a Palestinian rocket struck the bus in southern Israel.
Kuperwasser said the IDF military operation - that was not meant to be lethal - that went wrong in Gaza on Sunday and led to the death of one IDF officer and seven Palestinians, triggered Palestinian efforts to send a message that they will not tolerate such operations in the future.
Mosheer Almasry, a Hamas leader, said the operation represented the "establishment of a new stage of our struggle with the occupation".
The bus and rocket attacks drew a swift Israeli reprisal, with the IDF warning that Hamas would "feel the power" of its response.
As their burials got underway, thousands of mourners stood alongside camouflaged gunmen and chanted "revenge", according to The Associated Press.
Hamas bolstered its checkpoints in the territory after the incursion.
The Israeli Navy attacked a vessel belonging to the Hamas naval force at the Nuseirat port in the southern Gaza Strip. The organizers cited "the ongoing security situation".
The violence comes a day after an Israeli special forces operation in Gaza ended in an exchange of fire with militants from Hamas's armed wing, the Qassam Brigades. He added that Israel "does not care about the Egyptian efforts". As a result, "it is very hard to convince them to [back] a situation that promotes peace and security for Gaza, and security for Israel".
The renewed clashes dashed hopes that Israel and Hamas would uphold a precarious ceasefire agreement recently brokered by Egypt and the United Nations and supported by Qatar. "Everyone must step back from the brink", he said.
It called for an end to rocket fire, and for restraint "by all".
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When the order came to evacuate, it was like the entire town of 27,000 residents made a decision to leave at once, they said. The hospital was totally destroyed, Mike Mangas, a spokesman for operator Dignity Health, said.
Violent clashes have accompanied major protests along the Gaza-Israel border that began on March 30.
In recent days, the two sides had reached what Hamas described as "understandings" that would allow cash and fuel into Gaza in an effort to alleviate conditions after an 11-year blockade.
It was not clear if the outbreak of violence would derail those arrangements.
He said the willingness shown by Saudi Arabia and its regional allies to establish diplomatic relations with the Tel Aviv regime has exceeded all expectations of Israeli officials, with Prime Minister Benjamin Netanyahu saying he was not dreaming the day would come when he sees normalized ties with Persian Gulf kingdoms.
Palestinian militants in Gaza have launched dozens of rocket attacks and Israeli fighter jets have bombed sites across the strip in a round of intense fighting triggered by a botched Israeli special forces raid that left eight people dead.
"At this incident, an IDF officer was killed and an additional officer was moderately injured", it said, referring to the Israeli Defense Forces and identifying the officer only by his rank, lieutenant colonel, and the first letter of his name, M.
A relative of Palestinian Khaled Qwaider, who was killed in an Israeli air strike, reacts during his funeral November 12 in Khan Younis in the southern Gaza Strip.
The military provided few details about Sunday's raid. The Israeli military chief, Lt. -Gen.
"Operational decisions were made", the official said.
In a tweet after his arrival back home, Netanyahu praised the slain officer, whose identity was kept confidential for security reasons, and said "our forces acted courageously".
"Hamas is behaving as if we have moved on to targeted assassinations, as their men have been in hiding since Monday afternoon", Manelis added.
"Terrorists in Gaza are again attacking Israel with tools of war", Greenblatt said.