"Right now we're not getting along with Russian Federation at all", Trump said flatly during a White House news conference.
U.S. Ambassador Nikki Haley told the council: "We want to work with Russian Federation to advance a political process in Syria".
Tensions between Moscow and Washington have further aggravated over Syria after the USA missile strike on a Syrian military airfield Thursday, which it claims to be in response to the alledged Syrian government's chemical weapons attack last Tuesday in Khan Sheikhoun.
Meanwhile, Mr Trump has also declared North Atlantic Treaty Organisation is "no longer obsolete" - and has said he is committed to the military alliance.
'I have absolutely no doubt we did the right thing, and it was very, very successfully done, as you well know, ' he said.
"If they [Syria] use chemical weapons, they are going to pay a very, very stiff price", he said.
In an interview that aired Wednesday, Trump said that Putin was partly to blame for the conflict in Syria and denounced him for backing President Bashar Assad, whom he called an "animal".
He called the United States military action "genius", and stated that Xi, too, "was OK with it".
Hours earlier, Russian President Vladimir Putin said the "level of trust" had "not improved but has rather deteriorated". "The world's two foremost nuclear powers can not have this kind of relationship", Tillerson - who once received a medal of friendship from Putin - told a Moscow news conference. He noted a shared vision of an "uncompromising" war on terrorism.
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Populist voices in Britain have urged the Conservative government not to pay a penny. Tory euroscpetics added that they were encouraged he had shown a hint of compromise.
Secretary Tillerson on Russian Federation interference in U.S. elections: It is a serious issue.
Two days after, the United States launched 59 cruise missiles against the Shairat military base in central Syria, where from, according to the USA, airplanes carrying chemical weapons took off.
In the latest veto, Russian Federation blocked a draft resolution backed by the United States, France and Britain to denounce the attack in the town of Khan Sheikhoun and tell Assad's government to provide access for investigators and information such as flight plans. Even President Obama gave it a shout out at his 2014 State of the Union, telling members of Congress "American diplomacy, backed by the threat of force, is why Syria's chemical weapons are being eliminated".
Despite Assad's insistence, the USA, the World Health Organisation (WHO) and chemical weapons inspectors have all cast scepticism over the claim.
Then US secretary of state Hillary Clinton says that by blocking the resolution, Beijing and Moscow must "bear responsibility for the horrors that are occurring on the ground in Syria". The US scoops up such a large volume of communications intercepts in areas like Syria and Iraq, the material often is not processed unless there is a particular event that requires analysts to go back and look for supporting intelligence material.
Russian President Vladimir Putin had warned that imposing sanctions on Syria during ongoing peace talks in Geneva was "completely inappropriate" and would undermine the effort to end Syria's war.
"Without Nato, the Soviet Union would be quarterbacking half of Europe today and Putin knows it", said Nebraska Republican Senator Ben Sasse.
Russia, in turn, is concerned about NATO's presence in eastern Europe along its border.
But he renewed his demand that NATO's members boost military spending to at least two percent of gross domestic product.
Moscow, which terms the proposal "unacceptable", pushes its own version that emphasizes a need for dialogue and seeks to bring pressure on opposition groups as well as the Syrian government.