We present the form of the Dirac quantisation condition for the p-form
charges carried by p-brane solutions of supergravity theories. This c
ondition agrees precisely with the conditions obtained in lower dimens
ions, as is necessary for consistency with Kaluza-Klein dimensional re
duction. These considerations also determine the charge lattice of BPS
soliton states, which proves to be a universal modulus-independent la
ttice when the charges are defined to be the canonical charges corresp
onding to the quantum supergravity symmetry groups. (C) 1998 Elsevier
Science B.V.