Tillerson, 64, who was confirmed by the Senate in a 56-43 vote, was administered the oath of office by Vice President Mike Pence.
Trump said he 'won't fail' on a front where three of his predecessors -- Clinton, Bush and Obama failed.
He also dismissed as 'petty nonsense' a news report that he had called the president a 'moron' during a tense meeting with national security officials this summer.
The former Central Intelligence Agency director, was confirmed by the Senate by 57-42 votes. He replaced Rex Tillerson, who was fired by US President Donald Trump last month.
The leaders were accompanied by US Secretary of State Rex Tillerson and Russian Foreign Minister Sergey Lavrov at the bilateral meeting.
The demand for a probe comes amid reports that Pyongyang had clandestinely received nuclear enrichment technology from Pakistan when A Q Khan was at the helm of Islamabad's nuclear programme.
The Trump administration has called Maduro a "dictator" and issued sanctions against him and more than two dozen other former and current officials, accusing Maduro's government of violating human rights and undermining the country's democracy.
The White House and State Department commemorate other religious traditions, including a Jewish Passover Seder, as well as Christmas and Easter holidays.
Tillerson said that he believed that the US has a partner in Pakistan.
Tillerson is a veteran chief executive who has had extensive overseas business dealings but his relationships with foreign leaders could complicate his confirmation prospects.
Tom Bossert's resignation came a day after John Bolton took over the role of National Security Adviser.
In less than four hours after Trump gave the green signal, missiles were launched against the Syrian regime
Chinese President Xi Jinping on Sunday vowed to work with the United States for healthy and stable development of bilateral ties, calling cooperation the "correct" choice for both the countries.
The US Secretary of State said the two countries should find ways as to how they could work together to bring stability and peace to the whole region.
The United States identified LeT as one of the largest and most active terrorist organisations in South Asia.
The US President was expected to make his first trip to the United Kingdom since entering office, but US government officials have been told he has gone cold on the idea.
North Korea had recently called on its citizens to be ready for a nation-wide struggle against 'war thirsty' Trump.
The White House has maintained that this is "not the time to talk" to North Korea, which has been carrying out ballistic missile test.
Mattis also warned Pakistan of global "diplomatic isolation" and losing its Non-NATO ally status if it failed to take action against safe havens to terrorists on its soil.
The issues that figured prominently in these discussions included terrorism, Afghanistan and the situation in the Asia Pacific region.
The IAF chief has said that his force had the capability of locating, fixing and striking across the border.
A top American diplomat has said asserting that the Trump Administration is moving quickly on its own strategy to fight against terror groups.
The US Pacific Command said the missiles appeared to be short-range. The first and second missiles "failed in flight" and the third "appears to have blown up almost immediately".
The White House said the two leaders also pledged to continue working together to enhance security and prosperity in the Indo-Pacific region.
In December, Trump said that the US recognises Jerusalem as the capital of Israel and announced to move the embassy from Tel Aviv to the historic city.
Trump had slammed Pakistan for its continued support to terrorist groups
During her week-long stay, Swaraj, leading a high-powered Indian delegation, is expected to hold about 20 bilateral and trilateral meetings with leaders attending the session.
Tillerson, is currently on top of the list of Trump's Secretary of State because of his contacts with the world leaders, in particular Russian President Vladimir Putin, media reports said.
The broader NSE Nifty cracked below the key 10,400-mark to touch a low of 10,336.30, before finally ending 15.95 points, or 0.15 per cent, down at 10,410.90.
We can no longer have massive trade deficits and job losses, the US President said.
The retaliatory move from the Trump administration comes weeks after Russia forced a cut in US diplomatic staff in Moscow by hundreds.
Trump said that America's relationship with Russia 'may be at an all-time low', but he hoped that it would have been wonderful if the two countries could get along.
Senators said Pak's discriminatory laws continue to result in prosecution of individuals due to their faith.
The withdrawal will take effect on December 31, 2018. The US will remain a full member of the Paris-based UNESCO until then.
The US administration will take the final call in a meeting in coming weeks.
Earlier, United States Secretary of State Rex Tillerson urged the international community to increase pressure on North Korea, saying that failing to do so would bring 'catastrophic consequences'.
Reliance chairman Mukesh Ambani has moved 2 ranks ahead this year on the most powerful list.
Steve Bannon, a far-right figure, who has been given unprecedented power in the White House, said on his radio show in March 2016.
Swaraj and Tillerson discussed a wide range of bilateral issues, including the situation in the neighbourhood and the Indo-Asia Pacific region, officials said.
The Post reported that Trump has gone to "extraordinary lengths" to conceal details of his conversations with Putin, including on at least one occasion taking possession of the notes of his own interpreter and instructing the linguist not to discuss what had transpired with other administration officials.