This paper reports on electron paramagnetic resonance experiments of tetrahedrally coordinated Cr5+ in SrTiO3, under the influence of applied static electric fields. At 77 K, the applied electric fields induce an alignment of the off-centre Cr5+ ions along the direction of the electric field. The alignment is caused by a linear coupling of the electric dipole moment associated with the off-centred Cr5+ ion within the octahedron of surrounding O2- ions and the applied static electric field. From the measurements an electric dipole moment of mu =2.88*10-30 C m and an off-centre displacement of about 0.04 AA could be determined. Previous results of stress experiments for the Cr5+:SrTiO3 system, at 77 K, have also been considered; for Cr5+ under stress an elastic dipole model is inferred. A differential stress coupling coefficient beta (110)=4.19*10-24 cm3 has been determined.