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Initiated by the discovery of topological insulators, topologically non-trivial materials especially topological semimetals and metals have emerged as a new frontier in the field of quantum materials. In this work, we perform a systematic measurement of EuMg₂Bi₂, a compound with antiferromagnetic transition temperature at 7K. By utilizing angle-resolved photoemission spectroscopy in concurrence with first principle calculation, we observe Dirac cones at the corner and the zone center of the Brillouin zone. From our experimental data odd number of Dirac states are observed per Brillouin zone. Our experimental investigation of detailed electronic structure of EuMg₂Bi₂ could potentially provide the platform to study the interplay between topology and magnetism.