Bandits attacked the Nigerian Defence Academy (NDA) in Afaka, Kaduna State, on Tuesday.
Globalgistng gathered that the incident occurred at about 1:30am.
The assailants stormed the military base in large numbers.
They kidnapped one officer identified as Major Datong, while Lieutenant Commander Wulah and Flight Lieutenant CM Okoronkwo were shot dead.
Another officer, second Lieutenant Onah sustained a gunshot injury and is currently receiving treatment.
Nigerian Army spokesman, Brigadier General Onyema Nwachukwu did not take calls as at press time.
The Defence Headquarters is expected to provide further details.