Lebanese reports said more than 100 Israeli shells were directed at the area where the rockets were fired from.
Increased Israeli Air Force activity in the skies over southern Lebanon was also reported.
Hezbollah's Al-Manar television station quoted Hezbollah officials as saying "anonymous individuals acting on their own" were likely behind the rocket fire.
Lebanese media reported that two of the rockets launched toward Israel fell near the southern Lebanese village of Sarda. According to the reports, the Lebanese military closed off the area.
UNIFIL was also reportedly in contact with both the IDF and Lebanese military, in an effort to prevent an escalation of the situation.
At the start of Sunday's cabinet meeting, Prime Minister Benjamin Netanyahu said, "The IDF responded powerfully and quickly to the fire from Lebanon today. This is our policy in Lebanon, like it is in Gaza. We won't permit a trickle [of rockets] and, if needed, will act [to thwart rocket fire] beforehand."