The tiger cub had strayed into a hamlet of Mountanchetti tribe on August 19, entered the goat house and attacked the animals.
Hearing the bleats, the villagers rushed there and found the animal stuck in the goat house, unable to come out.
They hit it with sticks and stones to save their goats.
Forest department officials rescued the cub and took it to the hospital at the Mudumalai Tiger Reserve camp.
However, the cub died this evening due to internal injuries, Dr Vijayaraghavan, veterinary surgeon at the camp, said.