Bellemare had called on Lebanese authorities last Wednesday to submit all material related to the murder in the possession of Hezbollah.
The request came after the Hezbollah released several undated clips of aerial views of various areas in Lebanon which he alleged were intercepted from unmanned Israeli surveillance drones.
The clips included footage of the site of the Hariri assassination in west Beirut, canned several years before the murder.
Hezbollah is facing increasing pressure amid speculation that several of its members are set to be implicated by the UN tribunal in the killing of Hariri.
But Nasrallah has warned against implicating his Shiite movement in the Hariri assassination, slamming the UN-backed tribunal as an "Israeli project."
The murder triggered an international outcry and led to the withdrawal of Syrian troops from Lebanon in April 2005 after a deployment of almost three decades.
The killing has been widely blamed on Syria, but Damascus has repeatedly denied any involvement.
The Hague-based tribunal was set up by a UN Security Council resolution in 2007 to find and try suspects in the assassination of Hariri. There are currently no suspects in custody.