The detailed knowledge of the distribution of neutral interstellar hyd
rogen in the interplanetary space is necessary for a reliable interpre
tation of optical and H+ pickup ions observations. In the paper, we re
view the status of the modelling efforts with the emphasis an recent i
mprovements in that field. We discuss in particular the role of the no
nstationary, solar cycle-related effects and the consequences of hydro
gen filtration through the heliospheric interface region for its distr
ibution in the inner Solar System. We demonstrate also that the use of
the simple 'cold' model, neglecting the thermal character of the hydr
ogen gas (T similar to 8000 K), is generally incorrect for the whole r
egion of the inner heliosphere (R < 5 AU) since it leads to a substant
ial underestimation of the local hydrogen density and thus influences
the derivation of the H properties in the outer heliosphere/LISM. Refe
rring to recent Ulysses measurements, we point out also the need to co
nsider in the modelling the effects of the latitudinal asymmetry of th
e ionization rate.