PURPOSE: To provide a tetrahedron module for a tensegrity structure having made itself secure from the structural point of view.

CONSTITUTION: A module 100 is provided with four columnar members 3 set up crosswise with one another, connecting ends themselves of its long parts 3a together through a first wire rod 4, and thereby an outer tetrahedron 1 is formed up. In addition, ends of short parts 3b of the columnar members 3 are connected with one another through a second wire rod 5, whereby an inner tetrahedron 2 is formed up. Each end of the short parts 3b of respective columnar members 3 is connected to the respective ends of the long parts 3a of the columnar members 3 through a third wire rod 6, through which these wire rods 4 and 5 are made into a network systematization.