This document presents a comparative analysis of Agile and Waterfall project management methodologies. It begins by defining each approach, highlighting their core principles and frameworks, including the iterative nature of Agile and the sequential phases of Waterfall. The research explores the differences between Agile and traditional project management, emphasizing the iterative structure, interactive user input, and evolutionary delivery of Agile. It contrasts Agile and Waterfall, focusing on scope definition, team synchronization, customer involvement, and funding models. The document outlines the benefits of Agile, such as higher product quality, increased customer satisfaction, and reduced risks, and the benefits of Waterfall, including its simplicity, ease of management, and detailed documentation. The document uses figures and references to support its findings, providing a comprehensive overview of both methodologies and their applications.