The new quasi-one-dimensional spin gap compound ${\mathrm{BaCu}}_{2}{\mathrm{V}}_{2}{\mathrm{O}}_{8}$ was studied by means of magnetic susceptibility and heat capacity measurements on a powder sample. The magnetic susceptibility was well reproduced by alternating antiferromagnetic chain model with ${J}_{1}=260\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ and ${J}_{2}=52\phantom{\rule{0.3em}{0ex}}\mathrm{K}$, which result in a large spin gap of about $230\phantom{\rule{0.3em}{0ex}}\mathrm{K}$. It is suggested that the ${J}_{1}$ and ${J}_{2}$ are ascribable to interactions along the $\mathrm{Cu}\text{\ensuremath{-}}\mathrm{O}\text{\ensuremath{-}}\mathrm{V}\text{\ensuremath{-}}\mathrm{O}\text{\ensuremath{-}}\mathrm{Cu}$ path and the $\mathrm{Cu}\text{\ensuremath{-}}\mathrm{O}\text{\ensuremath{-}}\mathrm{Cu}$ path, respectively.