"I watched him put his hands behind his back -- he had it a lot easier than my brother because my brother's hands were pinned backwards," Philonise Floyd told ABC News' "Good Morning America" on Wednesday.
As Philonise Floyd awaited the verdict, he said, "Inside that courtroom I prayed for like 30 minutes -- because it took 30 minutes for the jurors and the judge to come out."
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He said Chauvin's conviction "makes us happier knowing that his life, it mattered and he didn't die in vain."
"It was accountability," he said of the verdict.
Chauvin was convicted Tuesday on all counts against him in connection to George Floyd's death: second-degree unintentional murder, third-degree murder and second-degree manslaughter.
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Philonise Floyd said his brother's death "made people realize that people's lives matter."
"All across the world, not just here in Minneapolis," he said, "people, they marched for him, protested for him."
"Gianna, [George Floyd's 7-year-old daughter] she said her dad would change the world. And I think that we will be able to cement his legacy because he did just that -- he changed the world," Philonise Floyd said. "He brought everybody across this country together for one purpose and that was to make sure that these officers be held accountable."
Floyd family attorney Ben Crump added on "GMA" that he hopes this case sets a precedent "where liberty and justice for all" applies "to all Americans."
Crump said passing the George Floyd Justice in Policing Act is the next step "to prevent some of these unnecessary killings."
Philonise Floyd said, "I'm just happy that we will have the opportunity to cement his legacy, and hopefully the George Floyd Policing Act will be passed, because people's blood is on that bill. And these people, they need to have justice for what happened to their families."