It was the 22nd time that the goat had gone up in smoke since merchants in Gavle, 150 kilometers (90 miles) north of Stockholm, began erecting it to mark the holiday season.
Police spokeswoman Margareta Olander said officers received a call just after 9 p.m. to report that the goat was ablaze.
"In just a couple of minutes only a sooty wooden skeleton remained," she said. There were no immediate suspects, but Olander said that one of two men seen running from the scene was wearing a Father Christmas mask.
Since 1966, just 10 of the 13-meter (43-foot) -high goats have survived beyond Christmas Day. Most were burned sometimes within hours of being built during the first week of December. The 1976 goat was hit by a car, while in 1997, it was damaged by fireworks.
The vandals are seldom caught, but in 2001, the goat was set on fire on Dec. 23 by a 51-year-old visitor from Cleveland, Ohio. The culprit, Lawrence Jones, was convicted and spent 18 days in jail, reported AP. P.T.
Russian small missile ships - the Grad Sviyazhsk and the Great Ustyug - set off for a mission to the Mediterranean Sea