In this work, we examine the lattice behavior of the economically interesting superhard material, tungsten tetraboride (WB 4 ), in a diamond anvil cell under non-hydrostatic compression up to 48.5 GPa. From the measurements of lattice-supported differential stress, significant strength anisotropy is observed in WB 4 . The (002) planes are found to support the highest differential stress of 19.7 GPa within the applied pressure range. This result is in contrast to ReB 2 , one of the hardest transition metal borides known to date, where the same planes support the least differential stress. A discontinuous change in the slope of c/a ratio is seen at 15 GPa, suggesting a structural phase transition that has also been observed under hydrostatic compression. Speculations on the possible relationship between the observed structural changes, the strength anisotropy, and the orientation of boron-boron bonds along the c direction within the WB 4 structure are included.