"The crossing points of Erez and Kerem Shalom will be open as normal on Tuesday morning," the spokeswoman told AFP, without giving details.
The two crossings had been ordered shut after a rocket fired from Gaza struck Israeli territory on Friday, without causing any casualties or damage.
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The rocket was the first to hit Israeli soil since September 16, and the second since the end of the Jewish state's devastating 50-day war on Gaza militants.
A ceasefire agreed between Israel and Gaza's Hamas rulers took effect on August 26, ending a conflict that claimed 2,140 Palestinian lives and 73 on the Israeli side, most of them from the army.
Both sides are expected to resume talks soon in Cairo as part of an effort to keep the ceasefire in place.