The Trump administration had seemed ambivalent over whether it would push for regime change in Syria.
"I think that is the conversation that he [President Trump] will be having and has started to have, going forward", Haley said. "I think we ought to ask them that question".
"Using a deadly nerve agent, Assad choked out the lives of helpless men, women and children", Trump said.
McMaster told Fox News Sunday host Chris Wallace the "president acted decisively" and that while the strike wasn't meant to take out all of Syria's capabilities, "it was a strong signal that the US will not stand idly by".
Defeating the Islamic State of Iraq and the Levant (ISIL) group, pushing Iranian influence out of Syria, and the removal of Assad are priorities for the U.S. administration, Nikki Haley said in an interview to CNN, which will air in full on Sunday.
Haley added that she thought a regime change was necessary in Syria because "all of the parties are going to see that Assad is not the leader that needs to be taking place for Syria".
Writing in the Sunday Times, Sir Michael reiterated his support for the US's action against Assad's brutal regime.
But he said the United States expected Russian Federation to take a tougher stance by rethinking its alliance with Assad because "every time one of these horrific attacks occurs, it draws Russian Federation closer into some level of responsibility".
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Fresh strikes in Idlib came as Russian Federation sent a frigate armed with cruise missiles to a port in western Syria, in an apparent show of force in response to the United States action, CNN reported.
Russian Federation is responsible "by proxy" for the deaths of civilians in a nerve gas attack in Syria last week, the Defence Secretary has said.
"Part of the discussions when I visit Moscow next week is to call upon Foreign Minister Lavrov and the Russian government to fulfill the obligation it made to the global community when it agreed to be the guarantor of the elimination of the chemical weapons and why Russia has not been able to achieve that is unclear to me".
Iran is one of the biggest supporters of embattled Syrian President Bashar Assad.
The new developments come after the US launched 59 Tomahawk missiles from its warships positioned in the eastern Mediterranean.
The chemical attack on Khan Sheikhoun on Tuesday triggered a USA missile attack two days later that struck a Syrian air base in central Syria killing nine people.
Syrian army forces had been losing ground across the country until Russian Federation intervened militarily in September 2015, propping up Assad and protecting its own interests in the region.
The Britain-based Syrian Observatory for Human Rights said the airstrike on the eastern side of Khan Sheikhoun killed a woman, marking the first death in the town since Tuesday's chemical attack that killed 87.