Saturday's shooting left one person dead and another injured after a protest in Jefferson Square.
Another video posted on social media later showed at least one person bleeding profusely on the ground.
The police cleared the park to investigate the shooting.
Almost four months after the fatal police shooting of Breonna Taylor, the Louisville Metro Council announced it will launch an investigation into how the incident was handled by Louisville Mayor Greg Fischer's administration.
Authorities have not said whether anyone was arrested in connection to the shooting, which took place around 9 pm after a day of peaceful protests.
The Saturday night shooting was at least the second during almost a month of protests in Louisville over Taylor's death.
An arrest citation identified the suspect in Saturday's shooting as Steven Nelson Lopez, who was wounded in the leg by gunfire from park bystanders who were defending themselves.
Calls for action against the officers have gotten louder during a national reckoning over racism and police brutality following George Floyd's death in Minneapolis on May 25.
Taylor's boyfriend, Kenneth Walker, was originally charged with attempted murder after he fired a shot at one of the officers who came into the home.
According to the Courier-Journal newspaper, the protests over the police shooting of Breonna Taylor have been going on in the city park for weeks.
Breonna's dying occurred after law enforcement officials forcefully entered her condominium in the course of the night time after acquiring a "no-knock" search warrant throughout an investigation into two males they believed have been promoting medication out of a home removed from her dwelling. "This is absolutely not what they wanted or any of us wanted", Fischer said.
He said the suspect had been repeatedly asked by other people in the park to leave due to his disruptive behavior. Authorities said Hankison violated procedures by showing "extreme indifference to the value of human life" when he "wantonly and blindly" fired 10 shots into Taylor's apartment.
Taylor was shot at least eight times and killed.
"The citizens of this community, including members of this Metro Council, have been very upset with the perceived lack of transparency by the city", said Brent Ackerson, who chairs the Louisville Metro Council's government oversight committee.