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We present a new model of the three-dimensional distribution of molecular gasin the Milky Way Galaxy, based on CO line data. Our analysis is based on agas-flow simulation of the inner Galaxy using smoothed-particle hydrodynamics(SPH) using a realistic barred gravitional potential derived from the observedCOBE/DIRBE near-IR light distribution. The gas model prescribes the gas orbitsmuch better than a simple circular rotation model and is highly constrained byobservations, but it cannot predict local details. In this study, we provide a3D map of the observed molecular gas distribution using the velocity field fromthe SPH model. A comparison with studies of the Galactic Center region suggeststhat the main structures are reproduced but somewhat stretched along theline-of-sight, probably on account of limited resolution of the underlying SPHsimulation. The gas model will be publicly available and may prove useful in anumber of applications, among them the analysis of diffuse gamma-ray emissionas measured with GLAST.

3D Distribution of Molecular Gas in the Barred Milky Way