The agile approach to project management has become indispensable in today's business world, where change and uncertainty have become constants. This approach emphasizes flexibility, rapid adaptation, and continuous collaboration within teams as key elements of successful project management. Instead of rigid and pre-defined plans, the agile approach reflects the need for continuous project adaptation based on real requirements and feedback. Managing projects in line with the agile approach differs from traditional methods in many ways. Teams have greater autonomy and responsibility, and communication and collaboration among team members are often prioritized. The classic hierarchy is replaced by team members who make decisions together. The subject of this paper is precisely to present the traditional and agile approaches to project management. For the purposes of this paper, relevant literature related to project management, internet sources, descriptions, and comparative methods were used. The example of Rimac Automobili illustrates the successful application of the agile approach. Rimac has gained a global reputation thanks to its electric sports cars and technological innovations. The company has applied agile methods to accelerate product development, improve collaboration among different teams, and enhance user satisfaction. While the agile approach offers numerous advantages, including faster product development and better adaptability, it also faces challenges. Organizations often need a change in corporate culture and mindset to fully harness this approach. However, the transformation process, although challenging, can result in the long-term success of the organization. The example of the company Rimac Automobili illustrates the successful application of the agile approach and was therefore chosen as an example for the purposes of writing this paper. Throughout the paper, it has been elaborated and shown how each of these approaches views project management.