Mattis is asking that "responsible nations" join in condemning the Assad regime.
The Pentagon said a barrage of more than 40 Syrian surface-to-air missiles had "no material effect" on the allied attack, which McKenzie said struck their targets.
Hours before Trump's announcement on Friday, 88 Republican and Democratic members of Congress signed a letter imploring the president to consult Congress prior to engaging U.S. armed forces.
Following the strike, Trump took to Twitter to call the operation a success, telling Americans it was "Mission Accomplished!" and their "perfectly executed" strike will set back Syria's chemical weapons program "for years".
Secretary of Defense James Mattis said this year's strikes involved about "double" the number of weapons. McKenzie said the us military deployed 76 missiles and destroyed that facility. A huge fire could be seen from a distance to the east. Specifically, the US and allies hit Him Shinshar weapons sites, outside the city of Homs, and the Barzeh research center in Damascus.
Syrian media reported that Syrian defenses hit 13 rockets south of Damascus.
Shortly after the one-hour attack ended, vehicles with loudspeakers blared nationalist songs. Then-U.S. Secretary of State Rex Tillerson, who has since been fired, said the strikes did not indicate a shift in U.S. policy toward Syria.
Fortunately, however, Trump did appear to carefully and smartly avoid attacking Russian forces on the ground in Syria.
A senior USA administration official added that the United States wants to have an engagement with Russian Federation that leads to greater peace and stability in the world.
"He says increased engagement from countries including Saudi Arabia, the United Arab Emirates, Qatar and Egypt can ensure that Iran does not profit from the defeat of the Islamic State group".
The officials said the operation was carefully orchestrated and methodically planned to minimize potential damage, adding the United States is not aware of any civilian casualties.
More immediately, the action is likely to stir more heated exchanges at the U.N. Security Council, which met three times last week to discuss Syria.
During the Security Council meeting, US Ambassador to the UN Nikki Haley expressed Washington's preparedness to launch more military strikes on Syria if Washington learns that the Syrian government carries out a chemical weapons attack.More news: Pro-gun rally draws hundreds to Kalispell park
The strikes were seen as a middle ground between a limited and largely symbolic strike - such as last year's the USA missile attack - and a large-scale assault that could either destroy Syria's chemical weapons or weaken Bashar Assad's grip on power.
Trump is also putting pressure on Russian Federation and Iran to remove their support for Syria as he asked, "what kind of a nation wants to be associated with the mass murder of innocent men and women and children?"
"We should teach our children the importance of our victories", said the reporter addressing the camera, "and our strong stand against this aggression".
They added: "We are carrying out an assessment of the material damages".
"Three major powers have just wasted millions of dollars and surely days of planning for nothing", said Rami Nameh, an accountant from his home in the city of Homs.
"But I think even more importantly, it also sends a very clear message to Moscow, that the United States and its principal North Atlantic Treaty Organisation allies are united in opposition to things that Russian Federation is doing around the world".
He said the latest attack was created to destroy the Syrian regime's ability to produce chemical weapons.
On Friday, the United States, Britain, and France made the case at a council meeting for military action, arguing that Syrian President Bashar Assad's forces had used toxic gases multiple times in violation of worldwide law.
"When our president draws a red line, our president enforces the red line", she added, echoing earlier warnings that Western powers could strike again. Where is our "Thank you America?"
"We did not do any coordination with Russian Federation on these strikes, and neither did we pre-notify them", Marine General Joseph Dunford, the chairman of the Joint Chiefs of Staff, said Friday night.
That's according to a source familiar with the president's plans, who was not authorized to speak publicly. A faction of lawmakers in both parties have suggested Trump can not make the same case for striking the Syrian government.
White House spokesman Raj Shah said Friday afternoon that Trump "is going to hold the Syrian government accountable".