The present studies show that long-range magnetic order takes place in RuBr₃ at ≈34 K. The observations of clear oscillations in the muon time spectra demonstrate the presence of well-defined internal fields at the muon sites. The magnetic ordering appears to be very robust and static, suggesting a more conventional nature of magnetic ordering in the RuBr₃ system at zero field. Present investigations prove that in RuBr3 the Kitaev interactions are likely to be weakened at zero field in comparison to the α−RuCl₃ system. This proves that it is possible to tune the Kitaev interactions by replacing Cl with heavier halogen elements such as Br.