The Inter-Services Public Relations, the Pakistan Army's media wing, said the attacker on Saturday targetted the sports area of the armed forces' unit and those killed include seven soldiers who were critically injured in the attack.
Initial reports suggested that the bomber blew himself up in a ground where soldiers were playing volleyball.
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Security forces cordoned off the area and were searching for possible accomplices of the bomber, the military statement said. All the injured were shifted to Combined Military Hospital Saidu Sharif.
This is the second attack in a month and it is suspected that TTP will carry out more of such attacks.
Pakistan's Prime Minister Shahid Khaqan Abbasi said the military would continue its war against the Taliban.
The valley was once a TTP stronghold from 2007 to 2009. Pakistan launched an operation in the tribal areas in June 2014, in which 3,500 alleged militants have been killed, according to the Army's data, which has not been independently verified.