Hans Hug Kluber, also Klauber or Gluber was a Swiss portrait painter, draftsman and restorer.

Hans Hug Kluber was accepted as an apprentice painter in 1545 at the age of nine. As a portrait painter in Basel, he developed into Holbein's successor. One of his early portraits, influenced by Holbein, is the picture of Hieronymus Frobenius (1557).

In 1562 Kluber worked in Alsace. In 1568, the City Council of Basel commissioned him to restore the dance of death frescos in the Predigerkirchhof. He probably died of the plague. The painter Hans Bock the Elder, coming from Strasbourg, entered his workshop in 1571 and continued it after Kluber's death. Hans Bock founded a family of artists with his sons.