The alignment of anisotropic magnetic particles, each of which has its own easy axis for magnetization, has a great influence on the magnetic performance of the permanent magnet produced. It is, therefore, of great importance to study the behaviour of particles, how they move or rotate, during compaction in an applied magnetic field. We develop and employ a non-spherical axi-symmetric particle model. Magnetic polarization is given to each particle when a magnetic field is applied. The particles are subjected to various types of compaction in a magnetic field. They are translated and rotated by not only mechanical forces but also magnetic forces. The rotation and alignment of the easy axis are studied for various aspect ratios of the particle. They are significantly influenced by the application of the magnetic field and type of compaction. The results are discussed comparing with existing experimental data.