The Pelton turbine bucket is subjected to different loads under the turbine operating conditions ofrnhigh rotational speed. One of the most catastrophic failures that could occur in a Pelton turbine isrnthe fracture of the bucket, where the hydraulic jet force is at its maximum and applied for variousrncycles. The continual application of this cyclic load will result in nucleation and then fatigue crackrnpropagation. This failure of Pelton turbine bucket has a great influence on durability of the turbine. rnThe aim of this thesis is to analyze fatigue crack propagation and estimating the life of Peltonrnturbine bucket. To do this, a governing equation for crack propagation and life estimation wasrnderived and a Pelton turbine bucket was designed. rnThe three-dimensional model of Pelton turbine bucket was modeled by commercial softwarernSOLIDWORKS. The modeled bucket was then imported to ANSYS 19 workbench. FiniternElement analysis was done after meshing, boundary conditions and applying load. Then, staticrnstress analysis and fatigue crack propagation of the turbine bucket was investigated using stressrnintensity factors. rnThe stress-intensity factor was evaluated for each increment of crack depth and it was related withrnfatigue crack growth rate. The fatigue crack life was then calculated for each crack increment. Asrnthe result obtained, analysis of fatigue crack propagation and life estimation of the bucket arerndiscussed. And few recommendations are made for the future study.