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This work presents a new MEMS device which uses deterministic lateral displacement for the continuous separation of leukocytes (white blood cells) and erythrocytes (red blood cells). By running blood cells in laminar flow through an array of columnar obstacles, deterministic lateral displacement asserts that the path a cell follows is determined by its size. The system consists of PDMS channels with posts on glass slides. An effective separation region of 7 mm by 1.8 mm is achieved on a 1 cm by 1 cm chip. A 420 μm lateral separation was achieved for 5 μm and 10 μm beads. The critical particle size for separation was found experimentally to be 8 μm, concluded from our results using 5 μm, 7 μm, 8 μm and 10 μm polystyrene beads. Diluted whole blood and blood fraction of concentrated leukocytes were also tested with the devices in agreement with blood count results. Problem of blood cell stiction to device surfaces was investigated.