One Syrian refugee girl has been killed, the army confirmed.
The other four suicide bombers exploded themselves without causing harm to anyone else, the army said.
Lebanese army soldiers patrol a street at the entrance of the border town of Arsal, in eastern Bekaa Valley, Lebanon June 30, 2017.
The attacks involved five bombers who detonated themselves while the soldiers were carrying out raids in the refugee camps in search of militants.
The raids were aimed at "arresting terrorists and seizing weapons", the army command said.
The wounded soldiers were airlifted to hospital by a Lebanese army helicopter, Tayyar media reported.
During a raid on Al-Qariya, another camp near Arsal, one militant blew himself up and a second threw a grenade at troops, wounding four of them.
But the government says the number of Syrian refugees in Lebanon is closer to 1.5 million.
Both the ISIL and the al-Qaeda-linked Jabhat Fateh al-Sham are still there, living in caves, ramshackle homes and other makeshift dwellings, according to the Lebanese army.
There have been several clashes in recent years between Lebanese forces and militants in the Arsal area.
The army reportedly conducted the raids after intelligence reports said that militants were preparing to carry out a series of assaults inside Lebanon.