Cognomen Торнай (Tornai 
, Торнай 
) , globally, is quite a rare surname. The last name Торнай is characteristic of Hungary, where it is quite a common surname, Spain, where it is a very rare surname, and Brazil. In absolute terms, it is commonest in Hungary, Brazil, and the United States. Much less frequently, Торнай is the forename as well as the last name.