Halley also announced USA plans to impose new sanctions on Russian Federation over Syria, in addition to existing ones over Ukraine and meddling in US elections.
"Russian sanctions will be coming down, Secretary Mnuchin will be announcing those Monday if he hasn't already and they will have to do with chemical equipment used by Assad", Haley said on CBS' "Face the Nation", referring to Treasury Secretary Steven Mnuchin.
So I think everyone is going to be feeling it at this point.
"We wanted to send a strong message that they needed to stop the chemical weapons program", she added.
But US officials have blamed Russian Federation for failing to rein in its Syrian ally, as the guarantor of a 2013 agreement to dismantle Syria's chemical weapons.
She said that it is "entirely up to Assad" whether the missile attack on Syria was a one-time response to the suspected chemical attack by Syrian forces a week ago that killed more than 40 people or part of a continuing allied military effort.
"Everything that has strained the relationship is on Russia's side", she said, adding that the USA hopes for improved relations with Moscow, but that "we're not going to put up with bad behavior to get it".
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Haley also said the United States would not pull its troops out of Syria before three goals have been accomplished: defeating Islamic State militants, ensuring chemical weapons will not be used and maintaining the ability to watch Iran.
The Treasury Department told DailyMail.com it "does not comment on prospective actions". Three chemical weapons facilities in Syria were struck, although other chemical weapon facilities were left untouched. But it is unclear how much capacity Syria retains to produce chemical weapons and whether the strikes chipped away at the government's political will to deploy them.
Haley said Trump is prepared to strike Syria again if that happens, though she declined to say how the United States would respond to the use of conventional weapons. "Saying it's been a success - we won't know until we see if the regime continues to use chemical weapons".
French President Emmanuel Macron said he had persuaded Trump to commit long-term to Syria.
"We of course know that our work in Syria is not done", she said.
Asked about Mr. Trump's use of the term "mission accomplished" to describe the strike, Ms. Haley said it makes more sense in a military context.
Asked whether there will be further strikes, Ms. Haley said that's "totally up to" Syrian President Bashar al-Assad. "And should he use it again, the president has made it very clear that the United States is locked and loaded and ready to go".