The girl later succumbed to the injuries.
The lightning struck a site between the western group of temples and Kandariya Shree Mahadeva temples around 3 PM, causing minor damage to Jagdamba temple, Archeological Survey of India's conservation assistant Rahul Tiwari told PTI.
This was a very unfortunate incident, he said, adding that temple domes are fitted with lightning conductors.
Sub-Divisional Magistrate Ravindra Chouksey said that Shivangi Sharma, the deceased girl, was visiting the temple complex with her family.
Narendra Sharma, a tourist guide, said this was the first time that the lightning had hit the temple complex which dates back to the 10th century AD.