The γ-circular polarizations (P γ ) and asymmetries (A γ ) of the parity forbidden M1 + E2 γ-decays: 36 Cl * (J π = 2 − ; T = 1; E x = 1.95 MeV) → 36 Cl(J π = 2 + ; T = 1; g.s.) and 36 Ar * (J π = 2 − ; T = 0; E x = 4.97 MeV) → 36 Ar * (J π = 2 + ; T = 0; E x = 1.97 MeV) are investigated theoretically. We use the recently proposed Warburton-Becker-Brown shell-model interaction.For the weak forces we discuss comparatively different weak interaction models based on different assumptions for evaluating the weak meson-hadron coupling constants. The results determine a range of P γ values from which we find the most probable values: P γ = 1.1 · 10 −4 for 36 Cl and P γ = 3.5 · 10 −4 for 36 Ar.