The president did not consult Congress prior to ordering the action.
China opposes the deployment of the Terminal High Altitude Area Defence (Thaad) system in South Korea, arguing it could threaten its security, but South Korea and the U.S. say it is aimed at countering North Korea's missile threat.
Washington denies it has any intention of invading the North.
The United States on Thursday launched 59 Tomahawk missiles at Syria to neutralize its chemical weapon arsenal, two days after reports of a chemical weapons attack emerged from the battleground in Syria, which the West said the Syrian government should be to blame.
Abe conveyed to his American counterpart Japan's support for "the U.S.' resolve to fulfill its responsibility to prevent the proliferation and use of chemical weapons", according to a Japanese official. At that time, Trump told Abe that the United States considers that all options are on the table in dealing with the North.
The letter, addressed to House Speaker Paul Ryan (R-WI) and Senator Orrin Hatch (R-UT), also stated that, "The United States will take additional action, as necessary and appropriate, to further its important national interests".
North Carolina Gets Its Own Buzzer-Beater, And A Chance At Redemption
This morning, we got a flawless reminder of that courtesy of the hero of North Carolina fans everywhere, sophomore Luke Maye . It's understandable, considering this may have been the duo's final collegiate game if they opt for the 2017 NBA Draft.
"Some forces are loud-mouthed that the recent USA military attack on Syria is an action of warning us but we are not frightened by it", the report said, adding that the North's "tremendous military muscle with a nuclear force as its pivot" will foil any aggression by the U.S.
"There is a difference between Syria and North Korea", Yamamoto said.
Asked if Friday's strikes against Syria were a message to North Korea, Tillerson told ABC's This Week: "The message that any nation can take is, 'If you violate global norms, if you violate worldwide agreements, if you fail to live up to commitments, if you become a threat to others, at some point a response is likely to be undertaken'".
Mr Trump pressed Mr Xi to do more to curb North Korea's nuclear programme in their meeting, Secretary of State Rex Tillerson said.
The US on Friday carried out a missile strike on a Syrian airfield in retaliation for a "barbaric" deadly chemical attack on civilians that he blamed on the country's strongman President Bashar al-Assad.