Significance Similar to turbulent fluid flow, irregular fluctuations and vortexes appear as light encounters obstacles. However, the properties of light dramatically change when it propagates within materials with extreme parameters, for example, a near-zero refractive index. Here, we demonstrate that the electromagnetic power flow in near-zero-index (NZI) media is fully analogous to the velocity field of an ideal fluid. In other words, NZI media act as electromagnetic ideal fluids where the turbulence of light is intrinsically inhibited. This result connects the fields of nanophotonics and fluid dynamics, opening interesting questions from both fundamental and technological perspectives.