Donald Trump took power as the 45th president of the United States on Friday and pledged to end what he called an "American carnage" of rusted factories and crime in an inaugural address that was a populist and nationalist rallying cry.

Striking a defiant tone, Trump said American workers have been devastated by the outsourcing of jobs abroad.

"From this day forward it’s going to be only America First,” the Republican told thousands of people gathered on the National Mall to see him take over from Democrat Barack Obama.

With Obama and three other former presidents sitting nearby, Trump accused previous U.S. administrations of enriching Washington at the expense of struggling American families.

Underscoring the deep divisions in the country, protests against Trump turned ugly in downtown Washington. Black-clad activists smashed store windows, blocked traffic and fought with police in riot gear who responded with tear gas and stun grenades. Police said more than 200 people were arrested.

Aerial pictures of the crowds of Trump supporters on the Mall showed a much smaller turnout at midday on Friday than that in comparable photos from Obama's first inauguration in 2009. Estimates of Friday's crowd size were not immediately available from police.

The inaugural address was vintage Trump, with plenty of material gleaned from dozens of campaign rallies he staged last year on the road to victory on Nov. 8 over Democrat Hillary Clinton, who attended the ceremony with her husband, former President Bill Clinton.

Trump said the United States has enriched foreign industry at the expense of American companies, subsidized the armies of other countries while letting the U.S. military become depleted, and spent trillions abroad while allowing infrastructure at home to crumble.

"The wealth of our middle class has been ripped from their homes and then redistributed across the entire world," he said.

Trump accused the Washington establishment of protecting itself but abandoning regular citizens who have suffered from poverty and crime.

"This American carnage stops right here and stops right now," he said. "Every decision on trade, on taxes, on immigration, on foreign affairs, will be made to benefit American workers and American families," he said.

Trump, 70, takes over a country divided after a savage election campaign.

The grim vision of America he often paints is belied by statistics showing low levels of unemployment and crime nationally, although Trump won many votes in parts of the nation where manufacturing industry has been badly hit.

While Trump positioned himself as a champion of working Americans, the Tax Policy Center non-partisan think tank estimates that his tax proposals would not only add $7.2 trillion in U.S. government debt over the first 10 years, but are skewed to help the wealthiest Americans.

Hours after taking the oath of office, Trump, who repeatedly promised to repeal Obama's signature health-care law, signed his first executive order, directing U.S. agencies to delay, waive or grant exemptions from any provisions of the Affordable Care Act deemed burdensome for states or individuals.

Republicans in Congress hope to repeal the health care law, also known as Obamacare, and replace it.

Sitting behind the presidential Resolute Desk, Trump signed the order in a hastily arranged ceremony. In the Oval Office, which Obama vacated Friday morning, gold drapes had already been hung in place of crimson ones.

WORLD CONCERN

Trump's election was greeted with concern by many countries around the world, in part because of the potential for an isolationist foreign policy.

In an interview after Trump was sworn in, German Vice Chancellor Sigmar Gabriel said, "What we heard today were high nationalistic tones."

"I think we have to prepare for a rough ride," Gabriel told public broadcaster ZDF, adding that Europe should stand together to defend its interests.

Mexican President Enrique Pena Nieto congratulated Trump on his inauguration, but cautioned that the sovereignty, national interest and protection of Mexicans would be paramount.

Mexicans have been angered by Trump's pledge to build a wall along the southern U.S. border to keep out illegal immigrants, and to make Mexico pay for it. Trump has also frequently criticized U.S. companies that have manufacturing operations in Mexico.

U.S. stocks closed higher on Friday in a modest advance, marking the first time in more than 50 years that a new commander-in-chief has been welcomed by a rising equity market on his first day in office.

Pope Francis urged Trump to be guided by ethical values, saying he must take care of the poor and the outcast.

In Moscow, Russians hoping Trump will usher in a new era of detente celebrated his inauguration. Russian nationalists held an all-night party at what used to be the main Soviet-era post office in Moscow. In the city of Zlatoust, craftsmen released a limited series of silver and gold commemorative coins, engraved with "In Trump We Trust."

ISLAMIC STATE

Trump signalled the possibility of a more aggressive approach to Islamic State militants.

"We will reinforce old alliances and form new ones, and unite the civilized world against radical Islamic terrorism, which we will eradicate completely from the face of the earth," he said.

The U.S. Senate overwhelmingly voted on Friday to confirm retired General James Mattis as defence secretary and retired General John Kelly as homeland security secretary, making them the first Trump Cabinet nominees to be approved. New Vice President Mike Pence swore both in Friday night.

After repeating the 35-word oath of office in the ceremony, Trump stretched his arms wide and hugged his wife, Melania, and other members of his family. Ceremonial cannon blasts fired.

The Trumps rode in a heavily armoured limousine to lead an inaugural parade to the White House. The couple and their 10-year-old-son, Barron, hopped out of the limo and walked part of the parade route, waving to cheering well wishers.

Later, they watched some of the parade from a reviewing stand built on Pennsylvania Avenue in front of the White House.

Trump takes office with work to do to improve his image.

An ABC News/Washington Post poll this week found only 40 percent of Americans viewed him favourably, the lowest rating for an incoming president since Democrat Jimmy Carter in 1977, and the same percentage approved of how he has handled the transition.

Trump's rise, while welcomed by Republicans tired of Obama's eight years in office, raises a host of questions for the United States.

Trump campaigned on a pledge to take the country on a more isolationist, protectionist path and he has vowed to impose a 35 percent tariff on imports from U.S. companies that went abroad.

More than 60 Democratic lawmakers stayed away from the proceedings to protest Trump.

Many demonstrators will participate in a "Women's March on Washington" on Saturday. Protests are also planned in other cities in the United States and abroad.

QUICK ACTION

Trump's to-do list has given Republicans hope that, since they also control the U.S. Congress, they can approve sweeping tax reform and roll back many federal regulations they say are stifling the U.S. economy, as well as repeal and replace Obamacare.

"He's going to inject a shock to the system here almost immediately," Trump senior adviser Kellyanne Conway told Fox News.

Democrats, in search of firm political footing after the unexpected defeat of Clinton, are planning to fight him at every turn.

Trump's critics have been emboldened to attack his legitimacy because his win came only in the Electoral College, which gives smaller states more clout in the outcome. He lost the popular vote to Clinton by about 2.9 million.

Trump's critics also point to the conclusion of U.S. intelligence agencies that Russia used hacking and other methods during the campaign to try to tilt the election in the Republican's favour. Trump has acknowledged the finding - denied by Moscow - that Russia was behind the hacking but said it did not affect the outcome of the election.