In eastern Sweden a class one weather warning has been issued, meaning that forecasters believe the snow could pose a danger to people living in the area.
Snow ploughs and salt trucks worked through the night to try and clear roads in Sjuhärad and around Gothenburg.
Busses were delayed during the morning rush hour as well as some flights in and out of Gothenburg City Airport.
Tram and train services were understood to be operating as normal.
On Friday afternoon the Swedish Transport Authority said there had been no reports of deaths or serious injuries, although "plenty" of cars and trucks had ended up driving into ditches at the sides of roads.
"It is clear that it is difficult traffic situation, it's slippery and snowy on the roads," Lars Hedstrom from the authority's press office told the news agency TT.
Thick snow has also landed in Norrland in northern Sweden, with treacherous conditions reported on roads around Luleå, where train services have also been cancelled.
As The Local reported earlier this week, many parts of Sweden can expect the coldest weekend of the year so far.
The Swedish capital has so far escaped heavy snow this week, with a light dusting falling early on Friday morning.