Abstarct: There has been so much attention in FePt magnetic nanoparticles with L10 phase due to their high uniaxial magneto crystalline anisotropy. FePt nanoparticles can also be important in many applications, such as: perpendicular magnetic recording media, high performance permanent magnets and sensors. In a high coercivity systems, data can be stored for a longer duration. In order to create a magnetic media with stable recording bits against thermal effects, we need high anisotropy magnets. One way to achieve higher coercivity and energy product is Exchange Bias Effect. Coupling hard and soft magnetic matrials together leads to coercivity enhancement and higher energy product and stability of the system. In this work, we simulate FePt magnetic system using monte carlo method and different aspects of FePt magnetic nanoparticles such as curie temperature, exchange bias and coercivity with changing of thickness, anisotropy, percentage of Pt were studied.