Performance-based earthquake engineering (PBEE)is a framework thatseeks to improve decision-making for seismic risk mitigation through assessment and design methods featuring quantifiableperformance metrics. The selection of seismic design analysis approach depends on several factors such as the size and layout of the structure, design objectives, seismic design category, and the value of the structure. Generally, analysis methodscan be categorized into two major groups: static and dynamic analysis,both of which are possible to beconducted as linearor nonlinear analysis. This paper presents an overview of the procedures of the nonlinear analysis methods, namely the nonlinear static analysis(NL-SA) and nonlinear dynamic analysis (NL-DA), inaddition to the development of fragility curves for a probabilistic seismic risk assessment.