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The need to analyse the microscopic mechanical behaviour of blood flow was one of the main reasons to develop a new computer simulation using a particle method. This new mesh free method is based on a moving-particle semi-implicit (MPS) method, which has been developed to simulate incompressible fluids based on the Navier-Stokes equations. The simulation region was discretized by particles that moves in Lagrangian coordinates, where the plasma and platelets were modelled as fluid particles, red blood cells (RBC) as elastic particles and vessel wall as rigid particles. In this paper, some applications of the MPS method to study the blood flow are briefly analysed, such as the motion and deformation of red blood cells (RBC) in plasma flow and the platelet aggregation process in blood flow. Some preliminary studies suggest that there is evidence that the proposed method enables the analysis of the RBC motion and deformation in the plasma flow and also the initial thrombogenesis, growth and destruction of thrombus.