A solid solution of (1 - x) Pb(Lu1/2Nb1/2)O-3-xPbTiO(3) with composition of 0.01 <= x <= 0.08 have been prepared successfully. XRD analysis indicates the crystal structure adopts an orthorhombic (O) phase in 0.01 <= x <= 0.06 interval and becomes the coexistence of O and rhombohedral (R) phase at x = 0.07, then turns into R phase mostly at x = 0.08. In addition, two sets of superlattice reflections due to B-site ordering and antiparallel cation displacement are distinguished by XRD and the superstructures which arise from antiparallel cation displacement disappear gradually with the increasing x. The grain size increases gradually with the increasing x, and then becomes the bimodal microstructure at x >= 0.06 due to the coexistence of O and R phase. The dielectric spectra exhibit Curie temperature decreases from 248 degrees C to 147 degrees C with increasing x from 0.01 to 0.08. As 0.01 <= x <= 0.04, the samples display typical double hysteresis loops, suggesting antiferroelectric nature, then turn into ferroelectric gradually at x = 0.05. Finally, it exhibit typical ferroelectric hysteresis loops in 0.06 <= x <= 0.08 interval.