According to CNBC, a lawsuit was also filed against four police officers involved in the detention.
The family claims that city officials and authorities violated Floyd's constitutional rights.
On July 5, a court released on bail Tu Tao, one of the police officers accused of the death of George Floyd.
Floyd died in late May, shortly after being detained by police officers. One of the group of policemen held him, pressing his neck with his knee.
Police officer Derek Shovin was charged with the second degree.