Some 14 099 subcooled liquid density data and 160 vapor-phase PvT data for trans-1,3,3,3-tetrafluoroprop-1-ene (R1234ze(E)) are presented. The subcooled liquid density data are for eight isotherms evenly separated approximately from (283 to 353) K for pressures from close to saturation to 35 MPa, and the vapor-phase PvT data are for nine isochores for temperatures approximately from (243 to 373) K and for pressures approximately from (57 to 1024) kPa. In addition, a saturated liquid density correlation, a Tait correlation for the subcooled liquid density data, and a Martin-Hou equation of state for the vapor phase PvT data are presented.