Magnetic nanoparticles, such as Superparamagnetic iron Oxide Nanoparticles (Fe3O4) are used in this theoretical study. These particles represent a unique nanoplatform with a great potential for the development of drug delivery systems via blood vessels, due to their biocompatibility and stability. The mechanisms of magnetic nanoparticles moving in Newtonian fluid (blood) in a static magnetic field are numerically studied. The equations of motion for particles in the flow are governed by a combination of magnetic equations for the permanent magnet field and the Navier-Stokes equations for fluid. These equations were solved numerically using the COMSOL Multiphysics Modeling Software.