Former U.S. President George W. Bush on Tuesday publicly reacted for the first time to the national unrest surrounding the police killing of George Floyd, saying that "it is time for America to examine our tragic failures."

Bush, a Republican, said in a statement that he and former first lady Laura Bush "are anguished by the brutal suffocation of George Floyd and disturbed by the injustice and fear that suffocate our country."

"Yet we have resisted the urge to speak out, because this is not the time for us to lecture. It is time for us to listen. It is time for America to examine our tragic failures -- and as we do, we will also see some of our redeeming strengths," the statement said.

The remarks come as widespread protests -- some of which have at times turned violent -- continue to play out across the country demanding justice for Floyd, a black man who was killed last week by a white police officer in Minneapolis. Protesters who have taken to the streets in recent days to draw attention to the case and police violence across America say they want to see charges for all four police officers involved in Floyd's death, though so far officials have only charged the officer who was seen in a video with his knee on Floyd's neck.

"America's greatest challenge has long been to unite people of very different backgrounds into a single nation of justice and opportunity. The doctrine and habits of racial superiority, which once nearly split our country, still threaten our Union. The answers to American problems are found by living up to American ideals — to the fundamental truth that all human beings are created equal and endowed by God with certain rights," Bush said in the statement.

Though the statement makes no mention of President Donald Trump -- who has been criticized for his response to the unrest -- its tone contrasts sharply with Trump's public comments. The President has taken a strongman approach to the situation and stoked racial tensions with controversial statements about the protests.

"Many doubt the justice of our country, and with good reason. Black people see the repeated violation of their rights without an urgent and adequate response from American institutions," Bush said.

The former President also denounced the looting and destruction that has occurred in some cities in recent days, saying: "Looting is not liberation, and destruction is not progress."

Former President Barack Obama also recently released a statement about Floyd's death, saying last week that all Americans should "work together to create a 'new normal' in which the legacy of bigotry and unequal treatment no longer infects our institutions or our hearts."