Provincial governor Wasifullah Wasifi confirming the reports said there were no casualties as a result of the missile attacks.
Local authorities in Kunar province are saying that over 100 missiles have been fired in this province during the past one month which have incurred casualties and property damages to the local residents.
Cross-border shelling is considered to be one of the most controversial issues between Kabul and Islamabad.
US Secretary of State John Kerry recently hosted talks near Brussels between Afghan President Hamid Karzai and Pakistani military chief Ashfaq Kayani after ties between Afghanistan and Pakistan strained over links between the Afghan Taliban rebels and Pakistan.
Relations between Kabul and Islamabad further deteriorated after Afghan foreign ministry accused Pakistan for being helpless in Afghan peace process and unilateral construction and physical reinforcement activities along the Durand Line by Pakistani army.
However Pakistani government officials denied the allegations by Afghan officials accusing Pakistan for constructing new check posts along the Durand line.