We successfully synthesized the ternary bismuthides La3MBi5 (M = Ti, Zr, Hf). These compounds crystallize in the hexagonal Hf5Sn3Cu-anti type structure (space group: P6(3)/mcm) consisting of face-sharing MBi6 octahedral chains and hypervalent Bi linear chains, both separated by,,La atoms. Magnetic susceptibility and electrical resistivity measurements revealed that:all of the Compounds, including the solid solution La3Ti(Bi1-xSbx)(5), exhibit a Pauli paramagnetic behavior without any trace of superconductivity,clown to 1.85 K, as opposed to a recently reported 4 K superconductivity in La3TiSb5. The absence Of superconductivity is supported By first-principles' band calculations of La3MBi5 and La3MBi5 that demonstrate similar electronic structures With three-dimensional Fermi surfaces.