We present non-extreme generalisations of intersecting p-brane solutio
ns of eleven-dimensional supergravity which upon toroidal compactifica
tion reduce to non-extreme static black holes in dimensions D = 4, D =
5 and 6 less than or equal to D less than or equal to 9, parameterise
d by four, three and two charges, respectively. The D = 4 black holes
are obtained either from a non-extreme configuration of three intersec
ting five-branes with a boost along the common string or from a non-ex
treme intersecting system of two two-branes and two five-branes. The D
= 5 black holes arise from three intersecting two-branes or from a sy
stem of an intersecting two-brane and five-brane with a boost along th
e common string. The five-brane and two-brane with a boost along one d
irection reduce to black holes in D = 6 and D = 9, respectively, while
a D = 7 black hole can be interpreted in terms of a non-extreme confi
guration of two intersecting two-branes. We discuss the expressions fo
r the corresponding masses and entropies.