Among the victims was a woman and her and six of her children died, all of whom died in a landslide.
The children were between the ages of two and 17.
A seventh child was taken to hospital.
The deaths occurred in Ponta Negra, a district of the tourist town of Paraty.
The colonial city is one of the most severely affected urban areas.
Two children, including a four-year-old, died in a landslide in the town of Angra.
Two days of rain, with accompanying storm on Friday night, have also caused property damage.
The storm has drawn six weeks after the city of Petropolis, a few miles outside the city of Rio de Janeiro, was hit by heavy rain.
The death toll was then calculated at 233 people.