Topological superconductors (TSCs) have been widely investigated in recent years due to their novel physics and ability to host Majorana fermions (MFs) which are key to topological quantum computation.Despite the great interest,only a few compounds have been proposed as candidates of intrinsic TSCs,such as iron-based superconductor FeSe0.55Te0.45 and 2M-WS2.Among them,quasi-one-dimensional superconductor TaSe3 possesses fascinating properties such as its simple stoichiometry,layered nature and chemical stability.Here,using scanning tunneling microscope/spectroscopy (STM/STS),we systematically investigate the topography and electronic structure of TaSe3.Our STM/STS measurement reveals large atomically flat,defect-free surfaces suitable for the search of MF;electronic density of states consistent with our angle-resolved photoemission result and band-structure calculations,and a uniform superconducting gap with a typical size of ～0.25 meV.Remarkably,additional edge states are observed in the vicinity of the terrace edge,suggesting they may have a topological origin.Our result proves the coexistence of superconductivity and topological electronic structure in TaSe3,making it an intriguing platform to investigate topological superconductivity.