Former Mayor Rudolph Giuliani even weighed in, saying in a radio interview that de Blasio made a "big mistake .... setting up a press conference like that and putting a police commissioner in that situation. That's extremely damaging to the police commissioner, to keep up the morale of the police."
In recent days, emails have circulated among police officers showing a mock identification card with a picture of Sharpton and the title "Police Commissioner." The activist has shot back by claiming he has the ear of federal officials who have the authority to bring civil rights charges in the death of Eric Garner.
"It is time to have a mature conversation about policing rather than immature name calling and childish attempts to scapegoat," Sharpton said in a statement.
Bratton responded to the uproar by giving a series of interviews Friday defending his department's record on race and de Blasio's attitude toward the department.
"We are not a racist organization," Bratton told The Associated Press. "And I will challenge anybody despite their perceptions of police on that issue. This is a department that goes where the problems are whether it's crime or disorder."
De Blasio, he added, "is very pro-cop. ... This is not an anti-police mayor."
The rift stems from Eric Garner's arrest on suspicion of selling loose, untaxed cigarettes in Staten Island. Amateur video appears to show an officer putting the asthmatic, 350-pound father of six in a banned chokehold after he refused to be handcuffed. He yells, "I can't breathe!" as several officers take him down.
A city medical examiner found that the 43-year-old Garner was killed by neck compression from the chokehold along with "the compression of his chest and prone positioning during physical restraint by police." Asthma, heart disease and obesity were contributing factors.
The finding increased the likelihood that the case will be presented to a grand jury to determine whether any of the arresting officers will face criminal charges. It also has fueled the biggest crisis yet for de Blasio, who took office this year vowing to achieve two goals that, at times, can be contradictory: He said he would drive down crime and repair strained relations between police and the community.
"Every law enforcement official, every officer has to serve the people in this city," the mayor said. "The vast majority of people in the NYPD take that very, very seriously. If some individuals don't, that's a problem for us because we need people to go out there and do our jobs and do them well."
Along with rank-and-file discord, Garner's death has forced Bratton to defend his devotion to the policing tactic called broken windows the idea that going after smaller crimes such as selling loose cigarettes or public drinking helps stop greater ones such as assault and murder. Some lawmakers and experts say the decades-old theory no longer applies to a city with far less crime, unnecessarily puts nonviolent people at risk and fuels tensions in the city's minority communities.
"Serious crime has decreased dramatically in New York City in the two decades that broken windows policing has been in force, yet the causal connection between that drop and huge numbers of arrests for minor transgressions is unproven to this day," Steve Zeidman, a law professor at City University of New York, wrote in a recent op-ed piece.
Bratton has insisted that the NYPD will stick with the tactic. He also has defended the powwow with Sharpton.
"Whether you like Al Sharpton or not, he clearly is a spokesperson, particularly for African-Americans, and that is reality," Bratton said in the AP interview.