The US Geological Survey said the magnitude 7.5 quake was centred at a depth of 6miles about 35 miles northeast of the town of Donggala, Sulawesi.
Indonesia's meteorology agency initially issued an early tsunami warning for people in Central Sulawesi and West Sulawesi provinces, but this has since been lifted.
Earlier today, the same area was hit by a magnitude 6.1 earthquake that killed one person, injured 10 and damaged dozens of houses.
An official with the local disaster agency, Akris, said: "Many houses have collapsed. It happened while we still have difficulties in collecting data from nine villages affected by the first quake. People ran out in panic."
Indonesia's National Disaster Mitigation Agency said one person died in the shake earlier today when they were crushed by a collapsed building.
Donggala resident Mohammad Fikri said by telephone that he ran from his house but there wasn't great panic in his neighborhood.
He said: "All the things in my house were swaying and the quake left a small crack on my wall.
"But this was not the first time. Last week we felt an earthquake that had a stronger tremor so this time we didn't panic, just avoided the buildings and now everything has returned to normal."
A series of earthquakes in July and August killed nearly 500 people on the holiday island of Lombok, hundreds of kilometres southwest of Sulawesi.
Indonesia sits on the Pacific Ring of Fire and is regularly hit by earthquakes.
In 2004, a big earthquake measuring 9.1 struck off the northern Indonesian island of Sumatra, triggering a tsunami across the Indian Ocean that killed 226,000 people in 13 countries, including more than 120,000 in Indonesia.
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