Swami Agnivesh had applied for concession of bail last week for the case registered in Srinagar, according to a newspaper report.
A case under sections 295 and 295A of IPC was made against him on the complaint of human rights activist and social worker Praveen Tayal, the report added.
The Amarnath Temple in Jammu and Kashmir has an ice stalagmite that resembles Lord Shiva.
Earlier, it was claimed that Swami Agnivesh had insulted Lord Shiva by saying that the ice stalagmite, in the caves of Amarnath, is just another block of ice and holds no religious significance.
The temple is opened only once a year, during the month of July-August for 45 days, during which devotees from all across India throng the shrine.
According to Hindu mythology Lord Shiva, explained the secret of life and eternity to his wife Goddess Parvati, whose ice formation is also present in the cave.
The Amarnath caves are said to be over 5,000 years old.
Chandigarh: A Chandigarh court on Friday reportedly dismissed the plea for anticipatory bail of social activist Swami Agnivesh, who is facing a criminal case for making anti-Hindu remarks on Amarnath Temple, a religious shrine of Lord Shiva.
First Published: Friday, September 16, 2011, 20:19