Here, we report a multiferroic relaxor material 0.41Bi(Ni1/2Zr1/2)O3–0.59PbTiO3, which exhibits a large piezoelectric coefficient (d33, 391 pC/N), high remnant polarization (Pr, 52.3 μC/cm2) and a high electrical freezing temperature (Tf, 498 K). The electric-field-induced transition from a cubic-like phase to a tetragonal phase was confirmed by the XRD patterns and first-cycle bipolar electrostrain loop. The magnetization and magnetic field relationship changes from nonlinear to linear when cooled from 300 to 2 K. The unusual trend in magnetic behavior could be interpreted as the transitions between the super short-range orderings. Furthermore, the maximum value of magnetization shows a 14% decrease at 300 K after electrical poling. [ABSTRACT FROM AUTHOR]