Abstract 56 Fe( d, p ) 57 Fe reactions have been studied with 10 MeV vector polarized deuterons over the angular range 15° ≦ θ p ≦ 80°. Angular distributions of the vector analysing power and the differential cross section have been measured for reactions leading to levels in 57Fe. Distorted wave Born approximation calculations are compared to the measurements. The observed j-dependence of the vector analysing power results in eighteen new spin-parity assignments for levels in 57Fe. Spectroscopic factors are extracted from the differential cross-section measurements. The results are compared to the predictions of the single-particle shell model and to models including collective structure.