Motivated by the recent works of Golovnev et al. (2008), Chiba (2008) [1,2] where a model of inflation has been suggested with non-minimally coupled massive vector fields, we generalize their work to the study of the bouncing solution. So we consider a massive vector field, which is non-minimally coupled to gravity. Also we consider non-minimal coupling of a vector field to the scalar curvature. Then we reconstruct this model in the light of three forms of parametrizati