But travellers in the area are being urged to plan the journey and drive to the conditions with more rain on the way.
Heavy falls last week and early this week cut several roads in the region causing issues for tourists and remote communities.
The Bureau of Meteorology said the rain on Tuesday was brought by an upper-level low-pressure system which extended over SA from the west.
That system dumped 68.8 millimetres on Woomera, 54.8mm on Arkaroola, 46.2mm on Marree, 45mm over Roxby Downs and 38.1mm over Andamooka.
Transport Minister Tom Koutsantonis said following inspections, maintenance teams had declared several key roads safe for four-wheel drive traffic.
These include the roads from Coober Pedy to Oodnadatta, Coober Pedy to William Creek, and sections of the Oodnadatta Track.
"Crews have been working hard to assess and reopen outback roads as quickly as possible, being mindful to ensure the safety of all road users and limit any further damage to the road surface," Mr Koustantonis said.
"The re-opening yesterday of a number of key routes to 4WDs is great news for local communities, as well as pastoralists and stranded travellers at William Creek who have now safely arrived in Coober Pedy."
The minister thanked local communities who banded together to support those affected with more than 30 roads closed at one stage.
"Re-opening these roads is vital to helping our regional and outback communities get on with their lives, whether that means reconnecting families, accessing much-needed supplies or supporting tourism, mining and the livestock industry," he said.
The latest heavy rain across SA's north came after significant flooding earlier this year which isolated towns and cut major road and rail lines forcing food and other supplies to be airlifted in.
The floods caused severe damage to the Stuart Highway, the main road link between Adelaide and Darwin, and also damaged about 300 kilometres of rail track, cutting supply routes to both the Northern Territory and Western Australia.
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