A multidimensional gravitational model with several scalar fields, fie
lds of forms and cosmological constant is considerzd. When scalar fiel
ds are constant and composite p-brane monopole-like ansatz for the fie
lds of forms is adopted, a wide class of solutions on product of n+1 E
instein spaces is obtained. These solutions are composite p-brane gene
ralizations of the Freund-Rubin solution. Some examples including the
AdS(m) x S-k x... solutions are considered. (C) 1998 Published by Else
vier Science B.V. All rights reserved.