The 25-minute propaganda video was released by a group calling itself "the sons of the Caliphate army." In it, photographs of both technology leaders are targeted by bullets.
The video was spotted by Vocativ deep web analysts on the social media service Telegram, which is used by ISIS.
The extremist group says it's responding to growing efforts by Facebook and Twitter to suspend accounts and remove posts that the social media services say incite violence and promote terrorism.
The video shows hackers changing profile accounts and posting Islamic State propaganda. They allege they hacked more than 10,000 Facebook accounts, more than 150 Facebook groups and more than 5,000 Twitter profiles. "Many of these accounts have been given to supporters," the video says.
(Extracts from USA Today)