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We report the first results from a search for weakly interacting massiveparticles (WIMPs) in the Cryogenic Dark Matter Search (CDMS) experiment at theSoudan Underground Laboratory. Four Ge and two Si detectors were operated for52.6 live days, providing 19.4 kg-d of Ge net exposure after cuts for recoilenergies between 10--100 keV. A blind analysis was performed using onlycalibration data to define the energy threshold and selection criteria fornuclear-recoil candidates. Using the standard dark-matter halo andnuclear-physics WIMP model, these data set the world's lowest exclusion limitson the coherent WIMP-nucleon scalar cross-section for all WIMP masses above 15GeV, ruling out a significant range of neutralino supersymmetric models. Theminimum of this limit curve at the 90% C.L. is 4 x 10^{-43} cm^2 at a WIMP massof 60 GeV.Comment: 4 pages, 5 figures, submitted to Phys. Rev. Lett; minor  clarifications in response to referee's comment

First Results from the Cryogenic Dark Matter Search in the Soudan Underground Laboratory