Judge P B Desai passed the order.
Bajrangi had applied to the court on April 30 through his lawyer Chetan Shah for permission to go outside Gujarat as he wanted to get treatment at a private hospital in Gurgaon for his acute diabetes.
He is one of the 83 accused in Naroda Gam riot case. Eleven persons of the minority community were killed in the riot in Naroda Gam on February 28, 2002, during post-Godhra riots in Gujarat.
He is out of jail since April 24 this year after the Gujarat High court granted him bail for 90 days for eye treatment.