Hyper Rayleigh and Hyper Raman spectra of neat water have been recorded in two different geometrical configurations where the incident fundamental beam is impinging on the cell at right angle from the collection direction and in retroreflection. A polarization analysis is also performed for the hyper Rayleigh experiment to underlines the differences in measuring some elements of the first hyperpolarizability tensor of the molecules present in the liquid solution under study. These data, beyond the comparison of the cross sections for the different bands observed, allows for a better insight into the quadratic nonlinear optical response from neat water.