A Los Angeles police spokesman, Mike Lopez, said the department will "treat everyone with integrity and respect."
"We work with partnerships in our community and continue to do that to keep our communities safe and secure from crime. With the help of our community we will continue to do this."
The Portland Police Bureau in Oregon expressed similar sentiments on Twitter, saying that officers were "expected to treat everyone with dignity & respect, even when they are a suspect."
The International Association of Chiefs of Police issued a statement on the use of force by police
, saying officers are trained to treat everyone with "dignity and respect."
Jim Bueermann, the president of the nonprofit Police Foundation, which works to improve policing, said Trump's support for law enforcement was appreciated but "we cannot support any commentary -- in sincerity or jest -- that undermines the trust that our communities place in us to protect and serve."
The topic of rough police tactics is a sensitive one in Baltimore, a city still reeling from the April 2015 death of Freddie Gray after he was arrested and put in the back of a police van.
"Are you kidding me? This is disgusting," Baltimore County Executive Kevin Kamenetz wrote on Twitter about Trump's remarks on the handling of suspected criminals.
There was no immediate response from Baltimore's police department, where six officers were charged in connection with Gray's death. The 25-year-old suffered a fatal spine injury while being transported in the van. The cases against the officers, who were charged with crimes ranging from reckless endangerment to murder, ended without convictions.
Gray's death sparked protests and riots in the city
and fueled an impassioned national debate over fatal police encounters involving African-American men.
Trump's Justice Department is charged with enforcing a sweeping consent decree with reforms for Baltimore's police department after a federal investigation, launched in the wake of Gray's death, revealed patterns of discriminatory and unconstitutional policing.
'It was a joke'
Attorney General Jeff Sessions earlier this year directed his lawyers to ask the judge for additional time for the department to review the proposed decree to ensure it aligned with the priorities of the Trump administration on "crime reduction."
In April, a federal judge approved the reform plan
anyway. That same month, Sessions had ordered a comprehensive review of all police reform activities, including any existing or contemplated consent decrees.
Several rights and civil liberties groups also criticized the President's law enforcement remarks, but the head of the Suffolk County Deputy Sheriff's Police Benevolent Association said his members backed Trump's message.
"For the first time in many years we feel we have a president who supports law enforcement," John Becker said in a statement.
The group Blue Lives Matter tweeted that Trump's remarks were made in jest.
"Trump didn't tell police to go out & brutalize people as the media would have you believe," the tweet said. "It was a joke."
Support also came from the head of the union representing Cleveland's rank-and-file police officers. Without addressing Trump's specific comments on Saturday, Detective Stephen Loomis, president of the Cleveland Police Patrolmen's Association, told CNN there is "unwavering" support for Trump from law enforcement agencies across the country.
"Not surprisingly, (Trump's) comments have been completely taken out of context by the racially exclusive and divisive profiteers seeking to call into question his support of all law abiding citizens and the law enforcement that live and work among them," Loomis said in a statement to CNN.