At least five members of a family were wounded in the rocket attack in Kabul city earlier today. It did not explain further.
Last week, Donald Trump whil speaking at the UN General Assembly said that while the "United States has great strength and patience", it may have "no choice but to totally destroy North Korea" if the USA or its allies are threatened.
Three Taliban and one civilian were killed and 11 people wounded after Taliban attacked an global airport in Kabul on Wednesday, authorities said.
Mattis' visit to Kabul comes straight off the back of a visit to India. He added that to "attack a civilian airport is a criminal act, it is terrorist act and it just shows the importance of fighting these kind of organizations in Afghanistan".
Sitharaman also said that Mattis has assured her that he will speak with Pakistan on the terrorism emanating from across its border.
The attack did not kill or injure anyone, although it did strike the airport's south side.
Sixteen years after the 9/11 attacks, Kabul is still being attacked by the Taliban.
Officials immediately closed down the airport and Ghani said the government's Crisis Response Unit was called in to check runways and clear out debris.
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Hakim Noori, the governor of the Pusht Rod district, said nearly three hundred Taliban fighters took part in the attack, which began Tuesday night.
"Cooperation in this area will improve the capabilities of both our militaries and reinforce the foundations for an enduring partnership", Mattis said.
The attack started shortly after 11 a.m.
The US is pressing North Atlantic Treaty Organisation partners to increase their own troop levels in Afghanistan following US president Donald Trump's announcement in August that he was giving the Pentagon authority to ramp up deployment of forces in the country.
Saying it was "refreshing" to be in the country alongside NATO's leader, he said a "lot was riding" on Trump's new strategy.
The resurgent militants have threatened to turn Afghanistan into a "graveyard" for foreign forces. "Do you believe it's possible for the United States to achieve its national security objectives in Afghanistan, as long as Pakistan provides support and sanctuary to groups such as the Taliban and the Haqqani Network?"
Mattis said Washington supports a negotiated settlement between the Taliban and Afghanistan. "It's unacceptable that Pakistan provides sanctuary, and we ought to bring the full weight of the USA government and our coalition partners on Pakistan to ensure that they do not provide the sanctuary that they have provided historically to groups like Haqqani and the Taliban", he said.
The Taliban fired several rockets at the Kabul worldwide airport on Wednesday in an attack the insurgents claimed targeted the plane of visiting U.S. Secretary of Defense Jim Mattis.
Ghani says special forces troops have brought the attack under control.
Militants fired around 20-30 rockets at the Kabul worldwide airport only hours after U.S. defence secretary James Mattis landed in the Afghan capital.