Mr Trump's boast came a day after police violently cleared the area of protesters in front of the White House with tear gas, flash grenades and batons so that the president could walk out and pose for photos at a nearby church.
Pastors at the church prayed with demonstrators and handed out water bottles. But the people were peaceful, even polite.
"My friends, we can not tolerate or turn a blind eye to racism and exclusion in any form and yet claim to defend the sacredness of every human life", he said.
In Washington DC, thousands returned to the streets Tuesday for a peaceful "Black Lives Matter" march.
Trump, meanwhile, amplified his hard-line calls from Monday, when he threatened to send in the military to restore order if governors didn't do it. The lowlifes and losers are ripping you apart.
Thousands of people remained in the streets of New York City Tuesday night, undeterred by an 8 p.m. curfew, though most streets were clear by early Wednesday.
"But there is a fundamental - a constitutional - right to protest, and I'm against clearing out a peaceful protest for a photo op that treats the word of God as a political prop".
As National Guard troops deployed in the wake of recent protests watched, a crane lifted the 10-foot-tall (3 metre) bronze statue and workers moved it from its stand outside the Municipal Services Building, across from City Hall.
Hundreds of protesters gathering outside the Lincoln Memorial - the site of Martin Luther King jnr's "I have a dream" speech - were met by dozens of uniformed members of the National Guard.
Some of those who have gathered at the site of Floyd's killing have invoked the non-violent message of the late U.S. civil rights leader Martin Luther King Jr., assassinated in 1968, as the only way forward. They were among several police officers injured nationwide: An officer in Las Vegas was shot and gravely injured, four officers were wounded by gunfire in St. Louis, and two were injured in Buffalo when they were struck by a speeding auto.
"The NYPD and the mayor did not do their job", Cuomo said at a briefing in Albany.
Responding to the President's threat to deploy the military in USA cities against the wishes of state governors, Martin Dempsey, the former head of the Joint Chiefs of Staff, said: "America is not a battleground".
Six-year-old Gianna Floyd told Good Morning America on Tuesday "that [she] miss [ed] him", describing her father as a fun man who often played with her.
"I want everybody to know that this is what those officers took", Roxie Washington said during a Minneapolis news conference, her daughter at her side.
Minnesota Army National Guard Chaplains take a knee with protesters during a peaceful demonstration near the Minnesota State Capital after a white police officer was caught on a bystander's video pressing his knee into the neck of African-American man George Floyd, who later died at a hospital, in St. Paul, Minnesota, Tuesday. Derek Chauvin, the white officer who pinned Floyd down, has been arrested and charged with third-degree murder and manslaughter.
The crowd, halted at an entrance to the Manhattan Bridge roadway, chanted at riot police: "Walk with us!"
Really, I think the main difference is that we're just exhausted.
"I live in this state. It's really painful to see what's going on, but it's also really important to understand that it's connected to a system of racial violence", she said.
Ayatollah Ali Khamenei claimed that in America, "they kill people in an open crime, and they do not offer an apology while claiming [to support] human rights".
The references to military force by the bishop refers to Trumps threat to evoke the Insurrection Act to deploy troops to handle the protest.
A senior White House official, speaking on condition of anonymity, said the president is not rushing to send in the military and his goal is to pressure governors to deploy more National Guard members.
Nine states and the District of Columbia held presidential primaries on Tuesday, testing the nation's ability to run elections while balancing a pandemic and sweeping social unrest.
Donald Trump on Tuesday reiterated his calls to governors to clamp down on "lowlife" protests across the country as leaders across the world continue to condemn the black killings.
And there was another dramatic development in Minnesota Tuesday, as the state filed a civil rights complaint against the Minneapolis Police Department.