Elastic modulus, coefficient of thermal expansion and thermal conductivity of an anisotropic closed-cell metal foam were derived based on continuum micromechanics. Eshelby’s equivalent inclusion method and Mori-Tanaka’s mean-field approximation were used for the calculation. Assuming the eigenstrain in the cell phase, the effect of the gas pressure was incorporated into the calculation. Anisotropic cell structure was modeled by the cell of spheroidal shape. The analytical results were compared with previous Ashby’s unit-cell model which has been widely applied to many cellular materials. It was revealed that the present micromechanics model has high advantage for high-density and anisotropic closed-cell metal foams. The analytical results agreed well with the experimental result of lotus-structured porous copper with anisotropic cell structure.