The policewoman, who was charged with second degree murder, shot and killed African-American Donty Wright, prosecutors said.
Police officer Kim Potter has arrested and will remain in detention.
Potter said she “shot Donkey Wright, by mistake, after pulling her pistol instead of the electric stun gun.”
The lawyer for the Donty Wright family, Ben Cramp, commenting on the indictment of the policewoman, said that the killing was “intentional, intentional and illegal use of force”.
Police Department Chief Tim Gannon and Police Officer Potter resigned from the Brooklyn Center police.
The young man’s killing led to three nights of clashes between police and protesters.
The incident took place in the suburbs of Minneapolis, which is experiencing tension due to the trial of a former white police officer, accused of killing African American George Floyd, last year.
The Criminal Detention Office announced the arrest of Police Officer Potter on Wednesday morning, and that she would be held in Hennepin County Jail for possible second-degree manslaughter.
That charge may carry a maximum sentence of ten years in prison and a fine of $ 20,000.
Reuters reported that the prosecution must prove that Potter was “guilty of negligence” and had taken “an unintended risk.”
“No conviction can return to the Wright family its beloved,” the victim’s family’s lawyer said in a statement.
The lawyer added, “Any policeman knows the difference between a taser and a firearm. So Potter executed Kim Donati for a minor traffic offense.”
Brooklyn Center Mayor Mike Elliott tweeted, “Donty Wright, like many black and dark people in our community, should have been alive at home with his family today.”
Tara McKelvey’s analysis
BBC News, Minneapolis
Activists gathered for days outside the Brooklyn Center police station.
The indictment of former policewoman Kimberly Potter with the murder charge was a positive development for them. The policewoman accidentally raised the pistol instead of the electric stun gun and killed Donty Wright.
At the beginning of the week, activists joked about the pistol and the electric stun gun, indicating that they could be distinguished by shape and texture.
“They are different colors,” one activist said disgusted with his friend.
The two friends were angry, like many protesters outside the police station, at allowing Policeman Potter to submit her resignations, rather than being fired.
Another protester said, “If I don’t know how to do my job, I will be fired.” He added, “If I kill someone, I will be fired.”
On Tuesday evening, bottles and projectiles were thrown at the police station, whose officers responded by firing tear gas, stun grenades and rubber bullets.
And early Tuesday, the families of Donty Wright and George Floyd gathered to demand an end to the killing of defenseless black Americans.
“The world is in shock at seeing another African-American man killed,” said Floyd’s brother.
Brooklyn Center Police Chief Tim Gannon said Monday that Wright’s shooting appeared to be “an accidental shooting”, after Police Officer Potter mistakenly believed her service pistol was an electric stun gun.
But his family refused to explain what had happened.
Donty Wright’s aunt said, “She saw the video like everyone else. That woman held that pistol in front of her for a long time.”
He asked Donty Wright to pull over because his car’s license plate had expired. But family members and lawyers put what happened to him in the category of racism.
Police allowed the release of video clips of the policewoman’s chest on Monday. The footage shows Wright fleeing the officers after they told him they were about to arrest him.
When Wright got into his car again, Policewoman Potter was heard screaming “thunderbolt” several times, before she was shot.
Katie, the mother of Donty Wright – who is the father of a one-year-old son – said that her son called her when he stopped aside and that she offered to give the insurance policy details to the police over the phone.
She said, “I heard the police ordering him to get out of the car. There was a sound of quarrels and the policeman asked him to turn off the phone.”
When she managed to call him back, his girlfriend told her that he had been shot.
“I pointed the phone at the driver’s seat, and my son was lying there, not responding,” added his mother, crying.
And she continued, “That was the last time I saw my son.”