The Classical Trajectory Monte Carlo (CTMC) method is an usual theory to predict the charge-transfer and impact-ionization cross sections for the collisions between ions and atoms, and the method is commonly used to study the heavy particle collision in astrophysics and laboratory plasma environment. Here we perform a study of four-body collision process including two bound electrons by 4-CTMC method, and the Hamiltonian equation of the four-body dynamic system is solved numerically. The single/double electron ionization and capture cross sections have been calculated for collisions of high charge state ions (Li3+, Be4+ and O7+) with helium atom in a wide range of projectile energy. The calculation results show that there is a better agreement between the 4-CTMC method and the experimental measurements in the projectile energy range of 50~200 keV/amu for proton-helium collision system. In addition, for incident ions with high charge state, the results calculated by 4-CTMC method are in better agreement with the experimental measurements or other theoretical values in the projectile energy range of 100~500 keV/amu. Though the double ionization and capture cross sections calculated by 4-CTMC or 3-CTMC method are higher than the experimental results due to ignoring the electron correlation, the results of 4-CTMC method are in a better agreement with the experimental results.