The Israeli army said five people had been wounded in the Hezbollah attacks but the Israeli equivalent of the Red Cross, Magen David Adom, reported 15 wounded.
Since Israel launched its military offensive against Hezbollah targets in Lebanon on July 12, the group has fired about 1,800 rockets at northern Israeli towns.
According to police, 18 civilians in Israel have been killed and about 300 wounded.
The northern town of Kiryat Shmona was hit by a barrage of 40 rockets, of which at least 20 slammed into the city center, an army spokesman said.
A police spokesman told Agence France-Presse, that during the day, rockets also landed in Israel's third-largest city of Haifa and the towns of Nahariya and Acre.
Separately, one civilian was injured in the southern town of Sderot after it was hit by two rockets fired by Palestinian militants from Gaza in an attack claimed by the armed wing of the ruling Islamist Hamas movement.
Soldier buried
On the day that he was to complete his military service, Sergeant Asaf Namer, an Australian-Israeli killed while fighting for Israel was buried with full military honours in his birthplace of Haifa.
Sydney-raised Sgt Namer, 26, was one of eight Israeli soldiers killed in a Hezbollah ambush near the guerrilla stronghold of Bint Jbeil in southern Lebanon last Wednesday.
Huddled together in grief were his mother Eva and sister Karin, who had flown to Israel from their home in Bondi, his uncle Danny Morgenstern and girlfriend.
Mr Morgenstern, had told him not to join the Israeli Defence Force and not to volunteer to go into south Lebanon, stood shocked and listened with difficultly.
"Asaf, you were told not to be a hero but you were courageous and wanted to fight for the safety of the Israeli people. You were killed because you were defending others.
"Today was your discharge date (from the army). Who imagined we would be here mourning for you instead of planning your successful future?" he said in Hebrew.
Sgt Namer's girlfriend, Israeli science student Revital Bronstein, wept.
Hundreds of people were at the cemetery of Neve-David in Haifa as Sgt Namer's body made its last journey.
A dual Australian-Israeli citizen, Sgt Namer was born in Israel and emigrated with his mother to Australia when he was 12 after his parents divorced.
Two-and-a-half years ago he returned to the land of his birth and volunteered to join the Israeli army.
In Australia, about 350 students and teachers at Moriah College, in Sydney's eastern suburbs, held a memorial service last week for Sgt Namer, who graduated from the school in 1997.
Gaza offensive continues
Witnesses have said Israeli aircraft bombed the homes of two Palestinian militants in the Gaza Strip wounding two people.
They say one missile struck the house of the leader of the Popular Resistance Committees in Beit Hanoun in northern Gaza half an hour after Israel had warned him to leave.
His brother and sister-in-law were in a nearby house and were wounded by flying debris.
An Israeli army spokesman said the house was being used to store weapons.
In a separate strike an Israeli missile flattened the home of a member of the Islamic militant group Hamas in Gaza City but no-one was hurt.