Future information technologies, such as ultrafast data recording, quantum computation or spintronics, call for ever faster spin control by light [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] . Intense terahertz pulses can couple to spins on the intrinsic energy scale of magnetic excitations 5,11 . Here, we explore a novel electric dipole-mediated mechanism of nonlinear terahertz-spin coupling that is much stronger than linear Zeeman coupling to the terahertz magnetic field 5,10 . Using the prototypical antiferromagnet thulium orthoferrite (TmFeO 3 ), we demonstrate that resonant terahertz pumping of electronic orbital transitions modifies the magnetic anisotropy for ordered Fe 3+ spins and triggers large-amplitude coherent spin oscillations. This mechanism is inherently nonlinear, it can be tailored by spectral shaping of the terahertz waveforms and its efficiency outperforms the Zeeman torque by an order of magnitude. Because orbital states govern the magnetic anisotropy in all transition-metal oxides, the demonstrated control scheme is expected to be applicable to many magnetic materials.Ultrafast magnetization control has become a key goal of modern photonics, with a broad variety of successful concepts emerging at a fast pace. Examples include light-induced spin reorientation in canted antiferromagnets 3 , vectorial control of magnetization by light 6 , photoinduced antiferromagnet-ferromagnet phase transitions 9 , optical modification of the exchange energy 4,14 and driving spin precessions via nonlinear magneto-phononic coupling 7,16 . Despite this remarkable progress, most of the photon energy in all known concepts using visible and near-infrared light is inactive with respect to the light-spin interaction, and avoiding dissipation of large excess energies requires special care.In contrast, intense electromagnetic pulses at terahertz frequencies may interface spin dynamics directly on their intrinsic energy scales 5,11 . The magnetic field component of few-cycle terahertz pulses has been used to coherently control magnons in the electronic ground state by direct Zeeman interaction 5,11 . Because magnetic dipole coupling is typically weak, however, terahertz-driven spin excitation has been confined to the linear response regime. Massive nonlinearities, such as terahertz-induced phase transitions 17,18 and terahertz lightwave electronics [19][20][21][22]