Jamaat general secretary Liaquat Baloch said the army's media wing ISPR had issued a political press release which was unbecoming of a military force.
Angered by Jamaat head Munawar Hasan's remarks describing slain Pakistani Taliban chief Hakimullah Mehsud as a martyr, ISPR had yesterday demanded that he should tender an unconditional apology.
The military also asked Hasan to apologise for "insulting" the martyrdom of soldiers killed in anti-terror operations.
During the meeting, Baloch said Pakistan would have to get out of the drone war to establish sustainable peace. Those with a specific purpose and mentality were behind diverting attention to personal debates, he was quoted as saying by media.
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"The issue at hand is the closure of NATO supplies and drone attacks," Baloch claimed. "Jamaat-e-Islami has always paid tribute to the martyrs of the Pakistan Army."
Pakistani politicians, except for a few, have criticised the strike and said it was deliberately carried out to scuttle proposed peace talks with the Taliban.
However, security analysts and former military officers are happy that Pakistan's enemy number one has been killed.
The latest drone strike had renewed calls from some political and religious parties to shoot down the US unmanned spy planes and to block supplies for NATO forces in Afghanistan.