Simple molecular (statistical mechanical) models of water and their pr
operties, with the emphasis on a class of so called 'primitive models'
, are reviewed. These models are based on the finding that the structu
re of water is determined primarily by short-ranged (both repulsive an
d attractive) forces and do not incorporate thus any long-ranged elect
rostatic interactions. Considerable attention is paid to the physical
footing of the models and to their potential in applications and for d
eveloping a first-principle theory of water and aqueous solutions of n
onelectrolytes.