We report systematical studies of a new quasi-one-dimensional (1D) compound Ba 3 TiTe 5 and the high-pressure induced superconductivity therein. Ba 3 TiTe 5 was synthesized at high pressure and high temperature. It crystallizes into a hexagonal structure (P6 3 /mcm), which consists of infinite face-sharing octahedral TiTe 6 chains and Te chains along the c axis, exhibiting a strong 1D characteristic structure. The first-principles calculations demonstrate that Ba 3 TiTe 5 is a well-defined 1D conductor and thus, it can be considered a starting point to explore the exotic physics induced by pressure via enhancing the interchain hopping to move the 1D conductor to a high dimensional metal. For Ba 3 TiTe 5 , high-pressure techniques were employed to study the emerging physics dependent on interchain hopping, such as the Umklapp scattering effect, spin/charge density wave (SDW/CDW), superconductivity and non-Fermi Liquid behavior. Finally, a complete phase diagram was plotted. The superconductivity emerges from 8.8 GPa, near which the Umklapp gap is mostly suppressed. T c is enhanced and reaches the maximum ~6 K at about 36.7 GPa, where the spin/charge density wave (SDW/CDW) is completely suppressed, and a non-Fermi Liquid behavior appears. Our results suggest that the appearance of superconductivity is associated with the fluctuation due to the suppression of Umklapp gap and the enhancement of T c is related with the fluctuation of the SDW/CDW.