Mediapersons were also stopped from covering the press conference, with a large posse of police personnel deployed at Geelani's residence.
"We have orders not to allow the mediapersons to enter Geelani's residence," a police officer told reporters.
Meanwhile, Hurriyat spokesperson Ayaz Akbar said Geelani has rescheduled the press conference for Saturday.
"It is out of frustration, that the government is not even allowing Geelani to talk to media," Akbar said in a statement.
The leader, who was under house detention for a 235-day spell, was "released" on October 29, after which he addressed public gatherings in Sopore, Shopian, Kupwara and Pulwama.