We discuss a consolidation of determinations of the density of neutral interstellar H at the nose of the termination shock carried out with the use of various data sets, techniques, and modeling approaches. In particular, we focus on the determination of this density based on observations of H pickup ions on Ulysses during its aphelion passage through the ecliptic plane. We discuss in greater detail a novel method of determination of the density from these measurements and review the results from its application to actual data. The H density at TS derived from this analysis is equal to 0.087 pm 0.022 cm-3, and when all relevant determinations are taken into account, the consolidated density is obtained at 0.09 pm 0.022 cm-3. The density of H in CHISM based on literature values of filtration factor is then calculated at 0.16 pm 0.04 cm-3.