Cosmic-ray background fluxes were modeled based on existing measurements and theories and are presented here. The model, originally developed for the Gamma-ray Large Area Space Telescope (GLAST) Balloon Experiment, covers the entire solid angle (4π sr), the sensitive energy range of the instrument (∼ 10 MeV to 100 GeV) and abundant components (proton, alpha, e − , e + , µ − , µ + and gamma). It is expressed in analytic functions in which modulations due to the solar activity and the Earth geomagnetism are parameterized. Although 1 present address: Computer Software Development Co., Ltd., 2-16-5 Konan, Minato-ku, Tokyo 108-0075, Japan -2 -the model is intended to be used primarily for the GLAST Balloon Experiment, model functions in low-Earth orbit are also presented and can be used for other high energy astrophysical missions. The model has been validated via comparison with the data of the GLAST Balloon Experiment.