Several people were wounded in both attacks, they said, adding that Israeli forces had sent tanks into the northeast of Nuseirat camp earlier on Monday.
Israel deployed tanks into Jabalia, Beit Hanoun and Beit Lahiya on October 5, 2024, saying it intended to prevent Hamas from regrouping.
Palestinians said the new aerial and ground offensives and forced evacuations were "ethnic cleansing" aimed at emptying two northern Gaza towns and a refugee camp of their population to create buffer zones.
Israel denies this, saying it is fighting Hamas militants who launch attacks from there.
Israel deployed tanks to the Gazan towns of Jabalia, Beit Hanoun and Beit Lahiya last month. (AP PHOTO)
The Hamas-run Gaza Strip government media office put the number of Palestinians killed since October 5 at 1800.
It said 4000 others were wounded.
There was no confirmation on the figure from the territory's health ministry and Israel has repeatedly accused the Hamas media office of exaggerating the figures of the dead.
Israel said its forces have killed hundreds of Palestinian gunmen and dismantled military infrastructure in Jabalia in the past month.
The war erupted after Hamas-led militants attacked Israel on October 7, 2023, killing about 1200 people and taking 251 hostages back to Gaza, according to Israeli tallies.
Israel's retaliatory offensives have killed more than 43,300 Palestinians, according to Gaza authorities, and reduced most of the Gaza Strip to rubble.