MP2/aug-cc-pVDZ calculations are carried out on the geometries, vibrational frequencies, interaction energies and topological properties for the π-type halogen-bonded complexes between propargyl radical and dihalogen molecules ClF, BrF and BrCl. There are two kinds of geometries: complex (a) involves the interaction between the X (X=Cl, Br) atom and the midpoint of C(1)-C(2) bond, complex (b) involves the interaction between the X atom and C(3) atom. The lengths of the halogen bond, the frequencies of the halogen bond, the elongation extent of the X-Y (XY=ClF, BrF, BrCl) bond, topological parameters at the BCPs of the halogen bond and X-Y bond are all well consistent with the interaction energies. The interaction of complex (a) is stronger than that of complex (b); the interaction of propargyl…BrF is stronger than that of propargyl…ClF and propargyl…BrCl. For the complexes (a) and (b), the charge transfer is observed from propargyl radical to XY, the atomic energy, the dipolar polarization, and the volume of the halogen atom X decrease upon complex formation.Keywords ab initio calculation, donor-acceptor system, propargyl radical, π-type halogen bond, topological property of electron density www.cjc.wiley-vch.de 2351 those in complex (b). The geometrical parameters, frequencies, topological parameters and integral basin properties ∆q(XY), ∆E(X), ∆M(X) and ∆V(X) are all consistent with the interaction energies: propargyl… BrF>propargyl…ClF, propargyl…BrF>propargyl… BrCl.