In this paper, an elastic modulus of honeycomb consisting of hexagonal cell is studied by using numerical results of FEM. Based on the shape change of hexagonal cell an explicit equations of the equivalent elastic modulus C_<i2> (i=1, 2, 3) for the honeycomb whose cell wall is parallel to y axis are proposed. And, a method of calculating other elastic modulus by coordinate transformation is shown. Also, elastic modulus for various shapes of hexagon, obtained by changing systematically regular hexagon is investigated. It is found that compliance C_<yy|max>, which is maximum of elastic modulus C_<yy> in the one round turn of the coordinate system, varies in the systematic shape change, however, it always takes a minimum when the shape being regular hexagon.