A soldier was injured when an explosive device went off south of Sheikh Zuweid.
Also, a citizen was injured when a mortar shell fell on his house in south Rafah.
The pair was transferred to a nearby hospital to receive treatment.
Takfiri elements planted an explosive device on Arish-Rafah international road, said a security source on Thursday.
The explosive device went off when an armored vehicle was passing. The soldier was injured in his left shoulder.
Relevant bodies were notified to hold investigations into the two incidents.