We study the magnetic anisotropy of a single iron phthalocyanine (FePc) molecule on a Cu(110) (2 x 1)-O by using inelastic electron tunneling spectroscopy (IETS) with low-temperature scanning tunneling microscopy. Two inelastic excitations derived from the splitting of the molecular triplet spin state appear as two pairs of steps symmetrically with respect to zero sample voltage. We measured IETS spectra with external magnetic fields perpendicular and parallel to the molecular plane, and we analyzed the spectral evolution with the effective spin Hamiltonian approach. We determined all parameters related with magnetic anisotropy at a single-molecule level, both the easy-and hard-magnetization directions, zero-field splitting constant, D = -4.0 meV and E = 1.1 meV, the Lande g-tensor (g(xx), g(yy), g(zz)) = (1.82, 2.02, 2.34), and the constant of spin-orbit coupling lambda = -19.1 meV. We stress that the symmetry breaking caused by the adsorption of FePc on the oxidized Cu(110) significantly impacts the magnetic anisotropy. (C) 2016 AIP Publishing LLC.