Barack Obama has said the US Justice Department should do all it can to support the investigation into the Dallas shooting, which left five officers dead and seven wounded.
The US president said Americans of all races and backgrounds are angered by African Americans and Latinos being treated differently in the US criminal justice system.
Mr Obama insisted that he does not believe the US is as divided as some have suggested, and called on Americans to "take a step back" and ensure they do not engage in "destructive rhetoric".
He added that the US is unique among advanced countries in the scale of violence that it country experiences, and repeated calls for the need for gun control.
Barack Obama has said he has spoken to David Cameron and Germany chancellor Angela Merkel to prepare for Britain's exit from the European Union.
The US president praised the British prime minister as an "outstanding friend and and partner on the global stage" and said he was confident the UK was "committed to orderly transition out of the EU".
Mr Obama said the Brexit vote "speaks to the growing changes and challenges with globalisation" but added the UK-US special relationship will "endure".
President Obama will travel to Orlando on Thursday to pay his respects to the victims of the gay nightclub shooting.
Buckingham Palace said the Queen had sent a personal message to President Obama, saying: "Prince Philip and I have been shocked by the events in Orlando.
"Our thoughts and prayers are with all those who have been affected."
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