Abstract: | Parity violating, time-reversal invariant, weak neutral currents can induce an electric dipole transition moment, E1p.v., between atomic states of same parity. We report here on the preliminary results of an experiment designed to measure E1p.v. in the 6S–7S transition of atomic cesium, using a polarization effect characteristic of the interference of E1p.v. with the electric dipole transition moment E1ind. induced by a d.c. electric field. At a 90% confidence level we find the upper limit: |E1p.v.| < 2.0 × 10?9|e|a0. As a consequence the coupling constant of the electron-nucleon interaction involving the product of an axial electronic neutral current by a vector nucleonic one must be less than 44 GF. |