The statement had alleged Pakistan's involvement in the 2008 Mumbai attacks.
The National Security Council (NSC), in a special meeting on Monday called by the military, rejected Sharif's comments in an interview with Pakistan's Dawn newspaper as "incorrect and misleading", the prime minister's office said in a statement.
Last week, during an interview with the Dawn, Sharif had stated that "Militant organisations are active". "Should we allow them to cross the border and kill 150 people in Mumbai?"
In the other resolutions, PTI lawmaker Arif Abbasi said: "Sharif's statement on Mumbai attack has created problems for Pakistan internationally."It also demanded constitution of a joint investigation team (JIT) to probe his business links with Indian steel tycoon Jindal".
When a reporter pointed to Sharif's acknowledgment of the presence of "non-state actors" in the country, his daughter Maryam, who was accompanying him, replied: "So then who was Zarb-i-Azb [military operation] conducted against?"
Resolutions against ousted prime minister Nawaz Sharif have been brought in the three provincial assemblies in Pakistan demanding registration of a treason case against him for his controversial remarks on the 2008 Mumbai terror attack.More news: Nadal, Djokovic romp into Rome quarter-finals
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However Sharif defended his defended his remarks asking, "What did I say that was wrong in the interview?" The remaining two accused, Sharif's sons Hussain and Hassan Nawaz, have been declared absconders. "Will this government take action to ensure that Pakistan is declared a terrorist state among the world community, leading to consequent civil, military and economic sanctions on Pakistan", he added. "Today Nawaz Sharif stands exposed before the nation".
But, he said Mr Sharif issued the order to withdraw the army from Kargil when he visited the US.
Sherry Rehman, Pakistan People's Party (PPP) senator and leader of the opposition in the Senate, slammed Sharif on Sunday, saying the former PM had backed PM Narendra Modi's stance and compromised Pakistan's narrative in the war against terrorism.
The petition also calls for initiating criminal proceedings against Nawaz over his remarks on Mumbai attacks.
To a query regarding PTI's rejection of forming a national commission in light of the recent treason allegations against him, the former premier said that PTI neither had character nor any ideology.