There may be up to 30 centimetres of snow and the warning applies in central Svealand, southwestern Svealand and Gävleborg counties.
There is a risk of power outages, delays in public transport and limited accessibility on the roads.
A yellow warning has also been issued.
According to SVT's meteorologist Nils Holmqvist, the weather will continue to be unstable throughout next week.
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Listen to SVT's meteorologist about the weather warnings – yellow, orange and red Photo: SVT/Johan Nilsson/TT