Tyrannochthonius basme is a species of pseudoscorpion in the Chthoniidae family. It is endemic to Australia. It was described in 2008 by Australian arachnologists Karen Edward and Mark Harvey.
The species occurs in the Pilbara region of North West Australia. The type locality is a borehole on Mesa B, 40 km west of the iron-ore mining town of Pannawonica and some 1,400 km north of Perth.
The arachnids are cave-dwelling, terrestrial predators.