We have searched for heavy neutral gauge bosons (Z’) in p¯p collisions at √s=1.8 TeV. The data were obtained using the CDF detector during the 1992–1993 run corresponding to an integrated luminosity of 19.7±0.7 pb−1. We present a 95% confidence level upper limit on the production cross section times the branching ratio of Z’ decaying into dielectrons as a function of Z’ mass. Assuming standard model coupling strengths, we exclude a Z’ with a mass less than 505 GeV/c2. We also present lower mass limits for Z’ bosons from E6 models and the alternative left-right model.