"Our nuclear facilities are in safe hands," Sharif was quoted as saying by the Dawn website.
Referring to the reported concerns, Sharif refuted possibility of any attacks on the assets.
Director General of Strategic Planning Division, Khalid Kadwai briefed the meeting about the security and safety measures of the country's nuclear installations and arsenals.
He said the world's suspicions about Pakistan's nuclear arsenals are baseless, state-run Radio Pakistan reported.
The meeting saw an in-depth discussion on the recent tension at the Line of Control and the fallout of any US attack on Syria.
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It also looks after the security and safety of nuclear installations.
The meeting was attended by Foreign Affairs and National Security Adviser Sartaj Aziz, Interior Minister Chaudhry Nisar Ali, Finance Minister Ishaq Dar, Chairman of Joint Chiefs of Staff Committee and the three services chiefs.
Earlier this week, Pakistan had reacted to a report on US concerns about its nuclear arsenal by saying it has extensive protection measures and a robust control system for its atomic weapons that are aimed at maintaining stability in South Asia.
Citing a 178-page summary of the American intelligence community's "black budget", The Post reported that the US had ramped up its surveillance of Pakistan's nuclear arms and was concerned about its biological and chemical arms sites.
Pakistan is believed to have about 120 nuclear warheads.