WASHINGTON — Michael Bloomberg on Sunday reversed his long-standing support of the controversial “stop-and-frisk” police strategy ahead of a potential Democratic presidential run, a policy he embraced as New York’s mayor even though it disproportionately affected people of color.

Addressing a black church in Brooklyn, Bloomberg said the practice often led to the disproportionate detaining of blacks and Latinos. He added that he “can’t change history” but now realizes “I was wrong.”

If anyone was wrongly stopped by police, “I apologize,” he said.

Bloomberg’s reversal is a notable recognition of black voters in the Democratic Party and the fact that his record on stop-and-frisk could be one of his biggest vulnerabilities should he launch a White House run.

The stop-and-frisk practice gave police wide authority to detain people they suspected of committing a crime. Bloomberg aggressively pursued the tactic when he first took over as mayor in 2002.

Under the program, New York City police officers made it a routine practice to stop and search multitudes of mostly black and Latino men to see if they were carrying weapons.

Police claimed people were only targeted if officers had a reasonable suspicion that they were breaking the law.

But while the searches did lead to weapons being confiscated, the overwhelming majority of people who were detained and frisked were let go because they hadn’t done anything wrong.

Many men found the encounters humiliating, and statistics showed minorities were far more likely to be searched.

Mayor Bill de Blasio made ending stop-and-frisk a centerpiece of his first run for office.