"All Americans were rightly sickened and revolted by the brutal death of George Floyd. My administration is fully committed, the justice will be fully served for George and his family and He will not have died in vain," Trump said during a press briefing.
"My first and highest duty as president is to defend and protect the great country and the American people. I have sworn an oath to uphold the laws of our nation and that is exactly what I will do," he added.
Police used teargas to disperse crowds of protesters near the White House ahead of Trump's speech in the Rose Garden.
"But we cannot allow the righteous cries of peaceful protesters to be drowned out by an angry mob. The biggest victims of the rioting are peace-loving citizens in our poorest communities. And as their President, I will fight to keep them safe. I will fight to protect you.
UN Secretary-General Antonio Guterres has appealed to the protestors in the United States to carry out their protests over the death of George Floyd in a peaceful manner. The United Nation Secy General urged state authorities to show restraint in responding to demonstrators, said his spokesman.
The secretary-general's message is that grievances must be heard, but they must be expressed in peaceful ways and authorities must show restraint in responding to demonstrators, said Stephane Dujarric, the spokesman on Monday, Xinhua news agency reported.
Cases of police violence need to be investigated. Police forces around the world need to have adequate human rights training, and there also needs to be an investment in social and psychological support for police so they can do their job properly in terms of protecting the community, said the spokesman.
In the United States, as in any other country in the world, diversity is a richness and not a threat. But the success of diverse societies, in any country, requires a massive investment in social cohesion. That means reducing inequalities, addressing possible areas of discrimination, strengthening social protection, and providing opportunities for all, he said.