Taimoor Raza was convicted after allegedly posting remarks about the Prophet Muhammad, his wives and companions within the site’s comments.
The public prosecutor involved said he believed it was the first time the death penalty had been awarded in a case related to social media.
Human rights campaigners have expressed concern.
Facebook itself has yet to comment on the case.
The US firm previously announced in March that it was deploying a team to Pakistan to address the government’s concerns about blasphemous content on its service, but added that it still wished to protect “the privacy and rights” of its members.
Pakistan’s Prime Minister Nawaz Sharif has described blasphemy as being an “unpardonable offence”.
