In order to explore the luminescence characteristics of Er3+ in Pb(Mg1/3Nb2/3)-PbTiO3 relaxor ferroelectric crystal field, PMN-32PT∶Er3+ relaxor ferroelectric single crystal was grown by high temperature solution method. The micro morphology, phase structure, absorption spectrum and up conversion emission spectrum of the crystal were measured and analyzed. The J-O oscillator strength parameters of Er3+ in PMN-32PT∶Er3+ crystal field were calculated by Judd Ofelt theory. The unit cell parameters of the crystals are a=0.402 3 nm, c=0.403 3 nm, V=0.065 23 nm3 and a=0.403 5 nm, b=0.403 2 nm, c=0.403 1 nm, V=0.065 57 nm3 for tetragonal and monoclinic phase respectively. The oscillator strength parameters are Ω2=1.77×10-20 cm2, Ω4=1.50×10-20 cm2, Ω6=0.79×10-20cm2, δrms=0.18×10-6. The calculated radiative lifetime of 4I11/2 is 1.75 ms. Bright green emission band (552 nm) is generate at the 980 nm excitation. The research results suggest that Er3+∶PMN-PT ferroelectric single crystal will be a new promising luminescent crystal.