Abstarct: This thesis examines the separation and sorting of microfluidic particles in microchannels using electric field. In this study, Reynolds dimensionless number is used, which due to the small size of the microchannels, Reynolds is often less than one and in this case the current is creepy. In this thesis, the separation and manipulation of three particles, white blood cells, erythrocytes and platelets present in the blood, under the influence of the electric field in a microchannel on which the electrodes are dentated, in two-dimensional form using the software Kamsul Simulated and investigated. The results show that by controlling the parameters affecting the separation (movement of particles) of biological particles present in blood, white blood cells, erythrocytes and platelets with different intrinsic characteristics, they can be separated from each other with appropriate efficiency. In this thesis, in addition to sensitivity analysis and enhancement of separation efficiency as an innovation, trapping of white blood cells and platelets is also carried out by a microfluidic system using a dielectrophoresis force that renders the white blood cells with appropriate efficiency. They were trapped. In the numerical simulation performed to ensure the correct number of mesh elements, the independence of the mesh was evaluated and the number of elements equal to 57204 was considered as suitable mesh. Validation of the results was performed using the research of Mr Tatsumi et al. With over 95% agreement and sensitivity of the results to the parameters affecting the separation including voltage, baxse fluid inlet discharge, particle size parameter Clausius Muscle and frequency and width of the electrodes. In this thesis, for the proposed geometry and specified voltage of 2.1 volts, the optimum fluid inlet speed is 1100 μm / s for proper particle separation. In this thesis, the separation efficiency for white blood cells, erythrocytes and platelets are 94%, 94% and 96%, respectively, which is a good efficiency in particle separation. This thesis presents the trapping of white blood cells with a diameter of 12 μm and the conduction of platelets with a diameter of 2 μm using dielectrophoresis force. The flow field boundary conditions for trapping white blood cell particles, the inlet current for the fluid of 1800 μm / s, the voltage of 1.55 eV and the pressure at the outputs are set to zero. The trapping efficiency of white blood cell particles is 90% and platelet particle separation efficiency is 96%.