Although many metal hydrides were predicted by theory, very few of those were so far realized in experiment. Here, we systematically investigated the Ta-H system below 85 GPa, and found that the hcp TaH ∼2 can be gradually transformed into TaH ∼3 above 60 GPa at room temperature. With the help of DFT calculations, the space group of TaH ~3 can be determined as a I-43d phase, which is isostructural to the Domeykite mineral. Such structure is rather rare and was not predicted in the earlier theoretical works due to the large unit cell. We also tried laser heating at high pressures and found that temperature plays a key role in tuning the TaH ∼3 phase to TaH ∼2 phase, however, no other new tantalum hydrides were synthesized. During decompression, the TaH ∼3 was completely decomposed to the TaH ∼2 below 30 GPa. Further experiments are still required for the synthesis of other tantalum polyhydrides at a higher pressure range and for the comparison with the theoretical calculations.