Alton Sterling was shot and killed outside a convenience store in Baton Rouge on July 5th in an incident that was caught on video.
The recordings, filmed on at least two mobile phones, were broadcast worldwide.
Revd Al Sharpton is a Baptist Minister and Political, Civil Rights and Social Justice Activist.
The civil rights figure is also a trusted White House adviser.
He is part of the National Action Network that campaigns for equal justice under the law, saying it "should not be conditional or based upon a person's color or economic status."
Alton Sterling leaves behind five children and his 15-year-old son, Cameron Sterling, who spoke to reporters this week.
He said his father was a good man and asked protesters to be peaceful, saying violence will not help.
"I feel that people in general, no matter what their race is, should come together as one united family," he said, outside the store where his father died.
Just landed in Louisiana to participate in the funeral services of Alton Sterling.
— Reverend Al Sharpton (@TheRevAl) July 15, 2016
His killing fuel protests nationwide over the treatment of African-Americans by US police.
Mr Sterling's death was the start of a tumultuous week in American race relations.
The following day, Philando Castile was shot dead by a police officer in Minnesota during a traffic stop, with his girlfriend streaming the aftermath of the black man's death live in Facebook.
Last week in Dallas, Texas, a man opened fired, killing five police officers there.
He said he was unhappy about the killing of black men by white police officers. He was killed by police.
The Department of Justice has opened an investigation into Mr Sterling's shooting.
His family has called for the officers to be prosecuted. Police said in a search warrant that officers saw the "butt of a gun" in Mr Sterling's pocket during the arrest and that he tried to reach for it during the altercation.
US Representative Cedric Richmond will also be at Mr Sterling's funeral service.
