In the fresh video, Burhan, in battle fatigues, is seen flanked by two gun-totting militants.
He is seen issuing threats to policemen and those linked to security agencies in the six-minute video.
19-year-old Burhan, who hails from Tral area of south Kashmir, is seen telling policemen and those linked to security agencies to desist from engaging militants in gunbattles or "be ready to embrace death".
The earlier video, which had surfaced in July, had showed him along with 10 other militants roaming in some orchards, believed to be in Yaripora, a place located between Shopian and Kulgam in south Kashmir. They were seen loading their assault rifles and cracking jokes.