Former police officer Derek Chauvin is charged with two counts of second-degree manslaughter and second-degree murder.
The jury has to decide whether the police's actions were the direct cause of George Floyd's death.
There is great concern before the trial.
Crime rose sharply already in the autumn and the fear is that new riots will occur in Minneapolis, a city that still bears traces of the riots in the autumn.
US correspondent Stefan Åsberg and photographer Pelle Sterner are in Minneapolis. See their report in the video above.