We find monopole solutions for a spontaneously broken SU(2)-Higgs system co
upled to gravity in asymptotically anti-de Sitter space. We present new ana
lytic and numerical results discussing, in particular, how the gravitationa
l instability of self-gravitating monopoles depends on the value of the cos
mological constant. (C) 2000 Published by Elsevier Science B.V. All rights
reserved.