The injured, including children and women, were rushed to a government hospital at Konark.
While nine tourists were discharged from the hospital after preliminary treatment, four foreign nationals and two persons from Chattisgarh have to be admitted, an attending doctor said.
In view of the incident, the Archaeological Survey of India (ASI) authorities have stopped the entry of tourists into the temple premises till the beehives are removed.
The ASI has closed its ticket counters for tourists at the main gate as the bee attack took place for the second consecutive day today.
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The bees in hundreds came from a beehive within the temple premises which has reportedly been destroyed by monkeys.
A large number of tourists who had come to Konark, were utterly disappointed for not being able to see the 13th Century shrine famous for its sculpture.
The Sun Temple is a UNESCO World Heritage Site.