Composite compressive strength prediction using a nonhomogeneous elastic foundation (NEF) model is discussed. Results reported in this paper are some continuing work and development of the solution in Ref. 1 in which fiber microbuckling was studied and composite longitudinal compressive strengths (CLCS) were estimated using a beam-on-elastic-foundation model. In Ref. 1, the stiffness of the foundation was determined through solution of an homogeneous foundation model problem. Realizing that the estimation of the stiffness of the foundation is a crucial part of the approach, an NEF model is employed to reconsider the foundation problem. The elasticity solution of the NEF model problem is obtained, and the nonlinear relation of the stiffness of the foundation, k, with the fiber-buckling wavelength, L, is established using a least square technique. An iteration formula is derived for determination of the critical fiber-buckling wavelength, which yields the minimum fiber-buckling load. It is found that the NEF model predicts a slightly lower CLCS, but very close to the homogeneous model solution.