Coupling of spin-waves with electromagnetic cavity field is demonstrated in an antiferromagnet, dysprosium ferrite (DyFeO3). By measuring transmission at 0.2-0.35 THz and sweeping sample temperature, magnon-photon coupling signatures were found at crossings of spin-wave resonances with Fabry-Pérot cavity modes formed in samples. The obtained spectra are explained in terms of classical electrodynamics and a microscopic model. PACS numbers: 71.36.+c, 76.50.+g, 75.50.Ee Coupling of matter and electromagnetic radiation 1 is a topic of great interest in solid state physics research because of their hybrid quantum nature. 2 In the THz range, phonon-polaritons are a well-know example of a light-matter coupling. Recently, polaritons in the THz region were shown with intersubband transitions, 3,4 cyclotron resonance 5 and plasmons 6 in two-dimensional electron gases, as well as with intermolecular transitions in organic materials. 7 In these systems, a strong-coupling regime can be achieved when losses are smaller than the exchange rate between light and matter, 8 giving rise to the vacuum Rabi splitting. Polaritons are composite particles, which are studied in basic research on quantum optics, 2 and can be considered for use in quantum computing and quantum memories. 9-13 The coupling of electromagnetic cavity-modes to magnons was researched intensively in ferromagnets at GHz frequencies, 12,14,15 meeting with expectations of energy-efficient spintronic devices. 16 Coupling of magnons with superconducting qubits was also investigated. 17,18 The Purcell enhancement and the vacuum Rabi splitting were demonstrated in ferromagnetic materials. [19][20][21][22]