A measurement of a permanent electric dipole moment on xenon atoms has yielded the null result d( 129 Xe) = ( -0.3 ± 1.1) x 10~2 6 e • cm, achieved by use of spin exchange with optically pumped rubidium atoms to determine the precession frequency of the xenon nuclear spins as a function of applied electric field. This measurement improves the limit on an atomic dipole moment by over four orders of magnitude. It is sensitive to timereversal-asymmetric forces within the atom, setting a new upper limit of 10" 6 Gp on a shortrange tensor-pseudotensor electron-nucleon coupling.PACS numbers: 32.80. Bx, 11.30.Er, 35.10.Di The discovery 1 in 1964 of CP nonconservation in the K 0 meson system provided the first and still the only evidence of time-reversal (T) symmetry violation. In attempting to find other examples of T nonconservation accurate searches have been undertaken for a permanent electric-dipole moment (edm) on an elementary particle or atomic system. Measurements on the neutron 2 ' 3 have yielded the important null value for the dipole moment, d(n) < 4xl0~2 5 e -cm. Searches for an edm on atoms and molecules have set upper limits on Tnonconserving electron-nucleon forces, and on the edm of the electron and the proton. 4 " 8 .We report here the first result in a new search 9 for an atomic edm. We observe precession of the nuclear spins of xenon atoms in a magnetic field, and measure the change in precession frequency when an applied electric field is reversed relative to the magnetic field. Thus far we have obtained the null result:where the quoted error is statistical and one standard deviation. This result is sensitive to several plausible T-nonconserving forces within the atom. For example, it improves the limit on a tensorpseudotensor interaction 5,8 between electrons and nucleons by over a factor of 10. The ground state of 129 Xe is doubly degenerate, with the states distinguished by the axial nuclearspin quantum number, mj= ± \. In external electric and magnetic^fieldsj? and B, the energy operator is H = -d • E -jZ • B, where d^d