We study the singlet and triplet states of HF2+ at the B3LYP, BHandH, BHandHLYP, MP2, MP3, MP4 and QCISD(T) levels of theory with the 6-311++G(2DF,2PD) basis set. We report geometries, vibrational frequencies and vertical excitation energies. We find that the ground state of HF2+ is the C-s HFF+ singlet with r(F-F) = 1.444, r(H-F) = 0.980 Angstrom and alpha = 101.96 degrees; omega(1) = 857, omega(2) = 1145 and omega(3) = 3320 cm(-1), For the triplet state, there are two stable structures: the C-s HFF+ triplet (T-e = 0.79 eV) with r(F-F) = 1.799, r(H-F) = 0.962 Angstrom and alpha =102.53 degrees; omega(1) = 543, omega(2) = 734 and omega(3) = 3530 cm(-1) and the C-infinity 1, FHF+ triplet (T-e = 0.92 eV) with r(H-F) = 1.179 Angstrom; omega(1) = 544, omega(2) = 900 and omega(3) = 1418 (-1).