The executions were carried out at a high-security prison in Punjab province yesterday, the army said in a late-night statement.
It said the two "hard core terrorists" were involved in committing "heinous offences relating to terrorism, including killing of civilians, attacking Armed Forces, Law Enforcement Agencies, polio vaccination team and employees of a NGO."
The army did not elaborate where the trials were held and when the initial punishment was announced. The two convicts were identified as Muhammad Shahid Omar and Fazl e Haq - both active members of the banned Tehreek-e-Taliban Pakistan (TTP).
While Pakistani authorities maintain the military courts are an "effective deterrent" against terrorism, rights groups question transparency of the trials because of the secrecy surrounding the special tribunals.
The military courts have handed down the death penalty to more than 160 militants and yesterday's hangings took the number of those executed so far to 23.
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