The Hypervolume Monte Carlo (HVMC) method recently proposed by Fernand
es and Ramalho (Comput. Phys. Commun. 90 (1995) 73) to perform microca
nonical simulations, sampling the configurational and momenta spaces,
has been extended to the isoenthalpic-isobaric ensemble. Thermal and s
tructural properties as well as the speed distribution functions of th
e Lennard-Jones system, obtained from Andersen's isoenthalpic-isobaric
molecular dynamics method, are compared with the results from the pro
posed HVMC method at constant pressure. The agreement is excellent. Th
e statistical-mechanical roots of the isoenthalpic-isobaric HVMC metho
d are also presented.