The characteristics of light scattering by particles play an important role in various scientific fields. The early calculation of particle light scattering is mostly based on the hypothesis of spheroidal particles. However, the shape of the particles is not always theoretically spherical, and the aggregating of the particles makes the shape more complex. Lorentz-Mie scattering theory is usually used to calculate the scattering properties of spheroidal particles, but the calculation of scattering phase function of non-spherical and aggregated particles with the theory will cause larger biases. In addition, the hypothesis of spheroidal particles also fails to effectively analyze the depolarizationeffect. With the increase of computational power and the improvement of numerical methods, the scattering solutions of non-spherical particles are mostly solved by numerical methods in addition to the limited laboratory experiments. The numerical methods for scattering of non-spherical particles are reviewed, and their advantages and disadvantages are analyzed. The laboratory measurement methods of light scattering by non-spherical particles are also introduced, as well as their applications in the fields of optics, geophysics, remote sensing, astrophysics, engineering, medicine and biology.