Following the announcement of cold nuclear fusion being observed in electrochemical cells by Fleischmann and Pons1 and by Jones,2 we have searched for the characteristic radiations of thed+d andp+d fusion reactions in cells similar to those described in Refs. 1 and 2. No fusion product neutrons or gamma rays have been observed from either palladium or titanium cathodes. From measured D/Pd ratios in the systems with the palladium cathodes, we set upper limits on the fusion rates for our systems.