Measurements of the saturated vapor and liquid densities near the critical point for trans-1,3,3,3-tetrafluoropropene (CFH=CHCF(3). HFO-1234ze(E)) were carried out in the reduced temperature range of 0 962 < T/T(c) < 1 and in the reduced density range of 0.40 < p/p(c) < 1.70. Taking into consideration the meniscus disappearing level as well as the intensity of the critical opalescence, the critical temperature T(c) and critical density p, were determined experimentally The critical pressure P, was calculated by extrapolating the vapor-pressure equation to the critical temperature The critical parameters reported in this paper are Tc = (382 +/- 00.1) K, p(c) = (486 +/- 3) kg . m(-1), V(c) = (235 +/- 2) cm(3) . mol(-1), and P(c) = (3632 +/- 3) kPa The saturated liquid density correlation is formulated using the present data In addition, the critical exponent 13 along the coexistence curve was also discussed