On Wednesday, US Defense Secretary James Mattis, answering a reporter's question about the volume of Russia's arms deliveries to Taliban, said that it would be unwise of a country to support terrorists in another country without any consequences.
Interior Ministry spokesman Najib Danish says two of the rockets hit two civilian houses near the airport.
"Resolute Support deeply regrets the harm to non-combatants", the statement said.
Navy Capt. William Salvin, spokesman for the US -led military coalition, said in a telephone interview that the USA fired two Hellfire missiles.
The Taliban and ISIS are both taking credit for a rocket attack on Kabul's airport early Wednesday just hours after U.S.
"If in fact there was an attack ... his is a classic statement to what Taliban are up to", Mattis said.
The airstrike was launched in response to a Taliban attack at or near the worldwide airport in Kabul on Wednesday.
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Police officer Abdul Rahman said the attacker blew himself up on the street about 1,000 meters (1,094 yards) from the mosque.
Taliban spokesman Zabihullah Mujahid said in a tweet that the "military section of the Kabul airport was hit with missiles; target was plane of U.S. Defense Secretary Mattis" and that "losses (were) caused" in the attack.
Zia Durani, spokesman for the provincial chief of police, said that government forces subsequently managed to push the Taliban out of the district.
The Russian Foreign Ministry indicated that the United States military proceeded with its claims that Russia supported Taliban militants in order to divert global attention from the USA failures in Afghanistan.
Tumor Shah Hamedi, director of Kabul airport, said all flights were halted as a result of the attack.
Mr Stoltenberg claimed: "If Nato forces leave too soon, there is a risk that Afghanistan may return to a state of chaos and once again become a safe haven for worldwide terrorism". "I don't want to tell the enemy exactly what we are doing but the whole point is to make certain we have a compelling battlefield advantage over anything the Taliban tries to mass against your forces", he said.
Stoltenberg also said that North Atlantic Treaty Organisation has pleaded to increase troop numbers and welcomes Washington's conditions-based approach to Afghanistan. He said the insurgents mined the area around the base to prevent authorities from sending in reinforcements. "If NATO forces leave too soon, there is a risk Afghanistan may return to a state of chaos and once again become a safe haven for global terrorism". "Whatever sacrifice it requires to bring enduring peace and security to this country, we'll be committed to it", he said. But Afghanistan has faced a series of large-scale attacks in recent months targeting minority Shiites for which the Sunni-dominated Islamic State group affiliate in Afghanistan has taken responsibility.