A Material, which has zero or very small thermal expansion coefficient, is expected in parts for precision machines and optical instruments. An analytical model for a short fiber composite is developed to evaluate thermal expansion coefficients by applying the Eshelby's equivalent inclusion method to two kinds of inhomogeneities, i.e. fiber and filler. The effects of distributions of fiber-orientation, fiber-aspect ratios and volume fractions on thermal expansion coefficients are investigated. A carbon fiber/epoxy resin composite is estimated, and zero and very small thermal expansion coefficients are shown in case that fiber-aspect ratios are relatively large.