Poly- and single-crystalline samples of ${\mathrm{Ba}}_{5}{(\mathrm{Os}{\mathrm{O}}_{5})}_{3}\mathrm{Cl}$ have been successfully synthesized. ${\mathrm{Ba}}_{5}{(\mathrm{Os}{\mathrm{O}}_{5})}_{3}\mathrm{Cl}$ crystallizes in the noncentrosymmetric space group $P{6}_{3}cm$. ${\mathrm{Ba}}_{5}{(\mathrm{Os}{\mathrm{O}}_{5})}_{3}\mathrm{Cl}$ shows a ferromagnetic order below 5 K and a possible ferroelectric order below 150 K. A multiferroic state with both ferromagnetic and ferroelectric ordering is established, although the ferromagnetic and ferroelectric orders are not coupled. The experimental effective moment and the saturated magnetization for ${\mathrm{Ba}}_{5}{(\mathrm{Os}{\mathrm{O}}_{5})}_{3}\mathrm{Cl}$ are close to the spin-only value, indicating that the spin-orbit coupling does not play an important role, which is due to the large crystal field and spin splitting in ${\mathrm{Ba}}_{5}{(\mathrm{Os}{\mathrm{O}}_{5})}_{3}\mathrm{Cl}$.