In a large group of beyond the Standard Model theories, to understand the nature of electroweak symmetry breaking and the naturalness problem, the Higgs boson is treated as a pseudo Nambu Goldstone boson (pNGB) associated with a certain spontaneously broken global symmetry at a high energy scale. It was not realized until recently that these so-called "composite Higgs" models exhibit universal structures in the infrared, insensitive to the full ultraviolet theory. We present a systematic study of these universal structures, which can be utilized to test whether the Higgs is a pNGB or not. Our results highlight the urgency to measure the HHVV coupling structures, which remain untested to date.