We study loop-induced parity violating asymmetries in the strong production of polarized top quark pairs at and colliders. The electroweak corrections to the helicity amplitudes of and are evaluated in a two Higgs doublet model (2HDM) and the minimal supersymmetric standard model (MSSM). While observables in top quark pair production receive little contribution from standard electroweak interactions, it is possible that they can be significantly enhanced in a 2HDM and the MSSM. We find that the one-loop MSSM electroweak corrections can generate parity violating asymmetries in the total production rate of left- and right-handed top quark pairs up to about 1.7% at the upgraded Tevatron ( TeV) and 3% at the LHC ( TeV).