This work comprises a comparative study of the particle methods Moving Particle Semi-implicit (MPS) and Smoothed Particle Hydrodynamics (SPH) in terms of their efficiency and accuracy. The methods of Finite Volume and Volume of Fluid (VOF) were used as reference for determining the accuracy of the particle methods. The methods MPS and SPH were compared with each other by means of simulations of the problems of dam collapse and water discharge. On top of that, the problems of shear driven cavity and shock tube were successfully simulated using SPH. In order to analyze the methods` efficiency, the total processing time as a function of the number of particles was calculated. Finally, an analysis of the influence of the number of particles in solution was performed. The results obtained in this work show that both the MPS and SPH methods can be considered as good tools for fluid simulation.