The body of the 32-year-old was discovered at a property on the Moor Road near Coalisland just after 1 pm yesterday, Thursday, October 15.
But details have only emerged today.
A post mortem is due to be carried out on the dead man who is believed to eastern European.
It is not yet clear whether police are linking his his death to their inquiries into the shooting of a second eastern European man in Coalisland on Wednesday.
A post-mortem examination will be carried out later to determine how he died.
Police have appealed for anyone with information on the man’s death to contact them.