Police said the third rocket hit a structure in a community near Gaza, causing damage but no casualties.
"Three launches were identified from the Gaza Strip. The Iron Dome aerial defence system intercepted two rockets," the Israeli army said in a statement.
Militants in Gaza have fired more than a dozen rockets or mortar rounds at southern Israel in the latest wave of violence that erupted after US President Donald Trump's controversial December 6 recognition of Jerusalem as Israel's capital.
Before Friday, the last rockets fired from Gaza were on December 18, one of which hit a home in a border town.
Trump's announcement was followed by protests across the West Bank and on Gaza's border with Israel, with 12 Gazans killed in clashes with Israeli forces on the border or by Israeli strikes following rocket fire.
The rockets are often fired by fringe Islamist groups but Israel holds Gaza's rulers Hamas responsible for any attacks from the territory.
A rocket being fired from Gaza. AFP file picture
Palestinians in Gaza fired three rockets at Israel on Friday, two of which were intercepted, the Israeli army said, in the first such attack in more than 10 days.
