We present high-pressure resistance measurements up to 40 GPa on recently discovered titanium-based kagome metal CsTiBi. At ambient pressure, CsTiBi shows no evidence of superconductivity in resistivity and specific heat. By applying pressure, superconductivity emerges and the superconducting transition temperature reaches its first maximum of 1.2 K at 5 GPa. Then the is suppressed by pressure and cannot be detected around 10 GPa, manifesting as a superconducting dome. Remarkably, upon further increasing pressure above 13 GPa, another superconducting dome shows up, with the maximum of 0.6 K and ending pressure at 36 GPa. The variation of displays a clear double-dome shape in the superconducting phase diagram. Our work demonstrates the similarity between CsTiBi and CsVSb, providing valuable insights into the rich physics of these novel kagome metals.

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