Kruťaite was first discovered in Petrovice in Okres Žďár nad Sázavou, Czech Republic and described in 1972 by Zdenek Johan, Paul Picot, Roland Pierrot and Milan Kvaček.

In Czech orthography, when a háček (◌̌) modifies a lowercase t, it has a reduced klička form (as ť) which looks like an apostrophe.

Kruťaite forms through hydrothermal processes and is often associated with clausthalite, eskebornite, berzelianite, uraninite, hematite, ferroselite, bukovite, umangite, chalcopyrite and goethite.

Notable is the El Dragón Mine, Antonio Quijarro Province, Bolivia, where crystals up to a millimeter in size have been found.

[5] Other localities include:[2] Weintraube Mine, Lerbach, Rosenhof veins, Clausthal-Zellerfeld, Harz, Lower Saxony, Germany.