In astronomical and cosmological observations we find
very strong evidence that our Universe is dominated by
so far unknown types of matter and energy. More than
90 % of the matter in the Universe is non-luminous and
most of this is also non-baryonic. Weakly Interacting
Massive Particle (WIMPs) have been proposed to solve
this Dark Matter problem.
I will discuss the effort to
directly search for WIMPs with cryogenic detectors, which
is the presently most sensitive technique. Techniques,
status, latest results and future plans of the experiments
CDMS and CRESST will be presented in detail as well as
future plans in Europe and North America to build large
scale cryogenic detectors for direct WIMP search.