Israeli media reported the launch of two rounds of projectiles on Monday night and Tuesday morning, hitting two locations east of Khan Younis.
No injuries were reported, but Israeli daily news site Ynet said "four people suffered anxiety."
The first projectile launch was said to have included two grad-style rockets, landing some 20 kilometers from Khan Younis, while the second launch landed further north and was said to have included home-made Qassam-style projectiles.
None of Gaza's militant factions have claimed the attacks.
The last reported projectile launch was on 17 January.
Projectile fire from Gaza was reduced after Hamas officials held an all-factions meeting to pass on a warning from Egypt which said the fire could give Israel the cover to launch another offensive against the coastal enclave.
Resistance factions agreed to the ceasefire, but said they would continue to resist troops which entered Gaza.
Since Israel maintains a large swath of land as a "no go" zone, troops enter to patrol the sometimes kilometer-wide area, which takes up some 20 percent of Gaza's agricultural lands.
Some of what the Israeli media has claimed as projectile fire was said by brigades to have been directed solely at invading Israeli forces.