K Muthu, who is attached with Engineers Regiment, climbed the tower at Ajmeri Gate and stay put there and did not heed to appeals by police to come down, a senior police official said.
Army sources claimed Muthu, who is deployed in Kota, had done the "Sholay stunt" earlier in Bangalore also.
He has been absent from his unit since July seven without sanctioned leave.
A Court of Inquiry is likely to be ordered soon against him and action will be taken, sources said adding he had sought retirement from the force.