Surname Kugay (Kugay 
, Кугай 
) , in all the world, is quite a rare cognomen. The last name Kugay is characteristic of Ukraine, where it is quite a rare surname, Kazakhstan, where it is a rare surname, and Kyrgyzstan. Measured by absolute frequency, it is commonest in Ukraine, Russia, and Kazakhstan. Much less frequently, Kugay is the forename as well as the last name.