Hydrogen storage in metal hydrides is feasible since many metals react readily with hydrogen, forming a stable metal hydride. In this article, the structural, electrical, thermodynamic, phonon, and hydrogen storage properties of the perovskite hydride BaXH4 (X = Mn, Re, or Tc) in its hexagonal form are examined by combining ab initio density functional theory using the generalized gradient approximation and Perdew-Burke-Ernzerhof exchange-correlation functional. The electronic characteristics of these hydrides were analyzed through band structure, total density of states (TDOS), and partial density of states (PDOS) analysis. Maximal conductivity at the Fermi level is revealed in the TDOS and PDOS, and the results were plotted against the energy of the incident radiations. The hydrogen storage properties of the material were also considered; the value of gravimetric hydrogen storage capacity was calculated to be 2.006 wt.%, 1.2124 wt.%, and 1.6517 wt.% for BaMnH4, BaReH4, and BaTcH4, respectively. The formation energies obtained for BaMnH4 and BaTcH(4)were estimated to be -47.225 KJ mol(-1) and -47.331 KJ mol(-1), respectively, while the energy required to form BaReH(4)perovskite hydride was -47.705 KJ mol(-1). This high formation energy indicates the compounds' enhanced stability. Consequently, it is reasonable to assert that BaMnH4, BaReH4, and BaTcH4 can be effectively employed as hydrides for hydrogen storage purposes. Furthermore, the calculated desorption temperature of the perovskite hydride BaMnH4 was found to be T-des (K) = 361.32 K, while BaTcH4 and BaReH4 had estimated desorption temperatures of 362.13 K and 364.99 K, respectively. Notably, these values are within the recommended range of desorption temperatures (289-393 K) for practical applications, as proposed by the US Department of Energy (USDOE). This indicates that no significant barriers impede hydrogen desorption from BaXH4 compounds, making them promising candidates for hydrogen release in various practical applications. The discussion above concludes that perovskite hydrides BaXH4 (X = Mn, Re, or Tc) are suitable compounds for hydrogen storage because these materials are energetically stable and may be produced for hydrogen storage devices.{GRAPHIACAL ABSTRACT}