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The Hyperspherical Harmonics (HH) method is one of the most accuratetechniques to solve the quantum mechanical problem for nuclear systems with$A\le 4$. In particular, by applying the Rayleigh-Ritz or Kohn variationalprinciple, both bound and scattering states can be addressed, using eitherlocal or non-local interactions. Thanks to this versatility, the method can beused to test the two- and three-nucleon components of the nuclear interaction.  In the present review we introduce the formalism of the HH method, both forbound and scattering states. In particular, we describe the implementation ofthe method to study the $A=3$ and $4$ scattering problem. Second, we present aselected choice of results of the last decade, most representative of thelatest achievements. Finally, we conclude with a discussion of what we believewill be the most significant developments within the HH method for the nextfive-to-ten years.

The Hyperspherical Harmonics method: a tool for testing and improving nuclear interaction models