Hassan Munir, of Heaton, Bradford, admitted disseminating an electronic file of the terrorist publication on October 14 last year.
Mr Justice Saunders adjourned sentencing till a brief hearing at the Old Bailey.
The charge stated that: "Hassan Munir, on the 14th day of October 2014 provided a service to others, posted on his publicly accessible Facebook profile that enabled them to obtain, read, listen to or look at a terrorist publication, namely Dabiq 4."
