Sirens went off in several Israeli cities as Jerusalem, Tel Aviv, Haifa, Ashdod, Beer Seva, forcing Israeli residents to take shelter from rockets fired by Palestinian groups, Israeli Channel Two reported.
On Tuesday, the Ezzeddin al-Qassam Brigades, Hamas' military wing, said that it had fired volleys of rockets on Jerusalem, Haifa, Tel Aviv and Ashdod.
According to Israeli army, a Palestinian rocket hit an Israeli house in Jerusalem, but no casualties were reported.
Violence raged in the Palestinian territories on Tuesday after Israel launched a major military offensive-dubbed "Operation Protective Edge"-with the stated aim of staunching rocket fire from Gaza.
At least 17 Palestinians were killed and scores injured in Israeli attacks across the Gaza Strip on Tuesday, while Palestinian resistance groups continued to fire rockets into Israel in response to ongoing Israeli airstrikes.
The Israeli army said Tuesday that its air and naval forces had struck scores of sites across the Gaza Strip overnight, while ground troops were being amassed on the strip's borders in advance of a possible ground incursion.
Gaza-based resistance factions, for their part, continued to fire rockets into Israel on Tuesday in response to ongoing Israeli airstrikes.
The latest escalations come amid heightened tension over the killing of three teenage Jewish settlers in the West Bank last month and the subsequent murder of a 16-year-old Palestinian boy by Jewish settlers.