Characterization of Fermi surface of the BaSna superconductor (Tc ～ 4.4 K) by de Haas-van Alphen (dHvA) effect measurement reveals its non-trivial topological properties.Analysis of non-zero Berry phase is supported by the ab initio calculations,which reveals a type-Ⅱ Dirac point setting and tilting along the high symmetric K-H line of the Brillouin zone,about 0.13eV above the Fermi level,and other two type-Ⅰ Dirac points on the high symmetric Γ-A direction,but slightly far below the Fermi level.The results demonstrate BaSn3 as an excellent example hosting multiple Dirac fermions and an outstanding platform for studying the interplay between nontrivial topological states and superconductivity.