The officials further added that the rockets landed in Shegal and Dangam districts on Tuesday morning.
Provincial security chief, Gen. Abdul Habib Syed Khel confirmed that a woman was also injured following the shelling.
Gen. Syed Khel further added that Pakistani military has fired over 1000 rockets in eastern Kunar province during the past one week.
Pakistan has intensified cross-border shelling in eastern Kunar province of Afghanistan during the recent weeks.
The Pakistani air force also carried out an airstrike in Kunar province earlier this week which sparked furor among the Afghan officials.
According to local government officials, the airstrike left at least five civilians dead and eleven others injured.