The early morning incident in Mishmeret, an agricultural town north of Tel Aviv, came at a time of high tension ahead of the anniversary of Gaza border protests and an April 9 election campaign in Israel.
An Israeli Foreign Ministry spokesman said the projectile was sacked from Gaza, an enclave controlled by the militant Hamas group, and Netanyahu said Israel would respond forcefully.
Six people inside the home were injured when the rocket landed, including a woman in her 50s who suffered light to moderate injuries, said Magen David Adom, Israel's emergency response team, in a statement. The military said it was striking "terrorist targets".
Smadar Castelnovo, a Mishmeret resident who lives opposite the destroyed house, said they were woken up shortly after 5 a.m.
No one has yet claimed responsibility for this rocket.
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For her deal to pass, May needs to get at least 75 MPs to change their minds after parliament twice rejected her Brexit deal. They are likely to propose changes, or amendments, to this motion setting out alternative ways forward on Brexit.
"I will meet President (Donald) Trump in a few hours and just after that I will return to Israel to lead closely the operations". Smaller flare-ups have occurred sporadically since Israel and Hamas fought their last war, in 2014.
Palestinian activists have been flying burning kites and balloons into Israel as part of ongoing anti-occupation protests along the Gaza-Israel buffer zone.
Two rockets were launched at Tel Aviv on March 14 but caused no injuries or damage.
Later on Sunday, the army said a tank targeted a Hamas military position in the north of the enclave, after "balloons with explosives attached were launched from Gaza" and further explosive devices were thrown near the border.
In November, he agreed to a mediated cease-fire with the group after a spate of rocket attacks from Gaza toward communities in southern Israel.