The lawyer, Rajeev Sharma, was found near an eatery in T-Block lawyers' chamber of the premises.
"Prima facie it seems that Sharma was murdered by using a sharp weapon," a police official said.
The wound on Sharma's head led police to suspect a probable scuffle preceding his death.
Tis Hazari Courts advocates staged a protest and went on a strike following the incident.
"City lawyers have decided to suspend all work on Friday due to the murder of advocate Sharma in the courts premises," said RK Wadhwa, chairman of the coordination committee of bar associations of all district courts.