Abstract: Much of nonthermal, high-energy particles has been observed in the solar-terrestrial environment as well as in the astrophysical phenomena,and their energy density is known to be comparable to the energy density of the magnetic field and the thermal energy density of gas. The source of the high-energy particles and the acceleration mechanism are an important unresolved issue in the Universe. After the idea of the stochastic acceleration by Enrico Fermi in 1949, many acceleration models have been proposed, and the diffusive shock acceleration is believed to be primary mechanism by which particles gain nonthermal energies through stochastic scattering between the shock upstream and downstream. However, recent modern observations suggest that the diffusive shock acceleration alone cannot explain the observed cosmic ray particles, and other acceleration mechanisms with much efficient production of nonthermal particle are now extensively investigated. A review of our recent progress of particle acceleration mechanism is given by paying a special attention to collisionless plasma processes in shock wave, magnetic reconnection, and accretion disk etc.