A person was shot dead in Jefferson Square Park in the centre of Louisville.
Louisville police said one person died at the scene. That person was hospitalized with non-life-threatening injuries.
"It is a tragedy that this area of peaceful protest is now a crime scene", he added.
Dozens of people gathered on Sunday at the park.
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. For almost a month, protesters have been calling for the officers involved in her death to be charged. Some of the gun shots may have been the sounds of police returning fire.
In a video of the shooting, the suspect was surrounded by several people before shots were fired and people ran for cover.
The bill, called the Justice for Breonna Taylor Act (pdf), prohibits any state or local police agency nationwide from executing a warrant "that does not require the law enforcement officer serving the warrant to provide notice of his or her authority and goal before forcibly entering a premises".
"All I could hear was: bang, bang. I thought they were fireworks", she said. "This is absolutely not what they wanted or any of us wanted", Fischer said. No-knock warrants allow law enforcement officials enter a residence forcibly without having to announce their objective or identifying themselves as police. Police and protesters said Lopez had taken part in demonstrations but was disruptive and had been asked by other protesters to leave.
One person was killed and another wounded in a shooting at a Black Lives Matter rally in the U.S. state of Kentucky, police said.
A protester prays in a Louisville, Kentucky city square on that has been the site of weeks of protests.
Demonstrators gathered at Jefferson Square Park in downtown Louisville on Saturday in a call for justice for the police shooting of Breonna Taylor.
Jefferson County sherriff's deputies arrived at the park after shooting began, with LMPD officers arriving four minutes later. Authorities have not revealed any information about the shooter and whether he was connected to protesters, counterprotesters or any other group.
The shooting was at least the second during almost a month of protests in Louisville over Ms Taylor's death.
The Louisville police have dismissed one of the officers who opened fire, Brett Hankison, saying he violated their policy on the use of deadly force by "wantonly and blindly" firing 10 shots in Taylor's apartment.
The gunman in black shorts and carrying a black backpack is seen raising a weapon in the video and opening fire - with nearly two dozen shots heard ringing out in less than a minute. Authorities have released little information about the killing. It is being investigated by state and local authorities and the Federal Bureau of Investigation.
The Louisville police last week fired one officer involved in the shooting.
At a press conference on Monday (June 29), City Councilman Brent Ackerson said the investigation will be conducted by the Government Oversight Committee, which has the power to subpoena, the Louisville Courier-Journal reports.
The June 11 measure to ban the warrants is known as Breonna's Law.