We present CO J = 1-> observations of the S0 galaxy NGC 404 obtained using the Nobeyama Millimeter Array. The spatial and velocity resolutions are 4' ' and 5 km s-1. The central part of the galaxy shows a highly concentrated rotationless source with properties typical of a Giant Molecular Association. This structure is compatible with either a rotating molecular face-on disc or a non-rotating turbulent GMA. The asymmetry of the map of the CO velocity profiles might show signatures of the gravitational collapse of some substructures of this GMA that can be observed at higher spatial resolution maps.