Cognomen Traj (Traj 
, تراج 
, Трай 
) , around the globe, is quite a rare surname. The surname Traj is characteristic of Hungary, where it is quite a rare surname, Slovakia, and Iran, where it is a rare surname. Not in comparison with a country's population, this name is the most popular in Iran, India, and Hungary. Much less frequently, Traj is the forename as well as the last name.