The operations were conducted in different parts of the country during the past 24 hours, MoD said, adding that twenty others were also injured during the same operations.
The Afghan armed forces also arrested 12 militants and confiscated various types of weapons, ammunition and Improvised Explosive Device (IED) belonging to the militants.
According to MoD, the operations covered large swaths of Parwan in north, Nangarhar in east, Ghazni in southeast, Logar, Uruzgan and Wardak in central parts of the country, Kandahar and Zabul in south, Faryab, Baghlan, Kunduz and Jawzjan in north, and Badakhshan in northeast.
MoD also added that five soldiers of the Afghan National Army (ANA) embraced martyrdom during the operations against the local and foreign insurgents involved in terrorist activities.
The anti-government armed militant groups have not commented regarding the reports so far.