A hydrodynamic fluid film bearing for supporting a rotation shaft of a turbo or rotary apparatus includes a sleeve having a circular inner opening for receiving a rotation shaft therein, at least one metallic foil member of arc shape having one end fixed to the inner surface of the sleeve and arranged along the inner opening of the sleeve, and at least one elastic member disposed at the sleeve between the sleeve and the foil member. A bearing housing for receiving a bearing of a rotary apparatus is further provided, in which the bearing housing includes a circular opening for receiving the bearing therein, and the circular inner opening of the bearing housing includes grooves for cooling air passage formed at regular interval in the axial direction on the inner surface of the bearing housing. The bearing received in the bearing housing is preferably a hydrodynamic fluid film bearing.