MK Danny Naveh from Likud party said "the state of Israel will pay a heavier price in human lives if we don't act immediately."
Another Likud MK Limor Livnat also voiced harsh criticism of the government, saying "what happened this morning in Sderot proves that there is no political and military leadership in Israel."
MK Yitzhak Levi from National Union-National Religious Party said that "the residents of Sderot are paying with their lives forthe security abandonment of the disengagement."
Talab el-Sana, MK from United Arab List-Ta'al, also condemned the rocket attack and sent his condolence to the family of the woman victim.
In addition, el-Sana called on the government to stop the army's operations in the Gaza Strip because "innocent civilians are killed between operations". Both sides should reach a cease-fire and go back to negotiations, he added.
In early November, Israel unleashed a major military offensive into northern Gaza Strip town of Beit Hanoun, saying the border town was the launching site of numerous rocket attacks against Israel.
Instead of halting rocket firing by Palestinian militants, Israeli artillery shells killed some 19 civilians in Beit Hanoun on Nov. 8, which is the deadliest single attack on Palestinian civilians in the past several years.