Hlukhiv (Ukrainian:Глухів, Polish:Głuchów) or Glukhov (Russian:Глухов) is a small historic town on Yesman River. Currently it is a city of regional significance in the Sumy region of Ukraine, just south of the Russian border (see map).

It is known for being a capital of the Cossack Hetmanate after deposition of Ivan Mazepa in 1708-1764. As of 2005, the city's population is 36,100. Today near the city located the former Soviet Chervone Pustohorod air base. Beside the city of Hlukhiv, to the Hlukhiv municipality belongs a village Sliporod.