We report on high time resolution observations of the SNR 3C 58 using the High Resolution Camera on the Chandra X-ray Observatory. These data show a point-like central source, from which we detect 65.68 ms pulsations at 6.7 sigma significance. We interpret these pulsations as corresponding to a young rotation-powered pulsar (PSR J-205+6449) which is associated with, and powers, 3C 58. Analysis of archival RXTE data from three years earlier confirms these pulsations, and allows us to determine a

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... spin-down rate of P-dot=1.93x10^-13 s/s. Assuming a magnetic dipole model for PSR J0205+6449, we infer a surface magnetic field of 3.6x10^12 G. The characteristic age for this pulsar is 5400 yr, indicating either that 3C 58 was not the supernova of 1181 CE, or that the pulsar's initial spin period was ~60 ms.