The LHCb experiment (CERN) has the main objective of studying the phenomenon of Charge-Parity (CP) Violation, which is one of the requisites for observed matter-antimatter asymmetry in the universe. The LHCb has been specially designed to collect events with production of B mesons (containing the b quark), since their decays are the best source for the study of CP violation. The observation of effects of CP violation in the decay B+- -> pi+- pi- pi+ depends on its resonant intermediate states. Although CP violation has been observed in this channel so far, the high statistics to achieve by the LHCb may allow the observation of asymmetries in the so–called Dalitz plot distribution, which provides direct information about the dynamics of decay. In this dissertation we present a study of the decay B+- -> pi+- pi- pi+ with simulated data of the experiment LHCb. The goal is to establish the number of events in this channel that can be reached with the integrated luminosity of 2 fb(-1), corresponding to one nominal year of data taking. Studies were performed using signal and background samples, in order to establish selection criteria to achieve a high efficiency for signal events with high background rejection. We obtain an expected yield for 2 fb(-1) of about 87 thousand events of B+- -> pi+- pi- pi+ , with a background to signal ratio of about 2.