Organizational structures can be divided into classical and modern structures. The traditional organizations are the foundation on which modern organizational structures are built on. This way they can maximize their positive sides and minimize the negative ones. The Matrix Organizational Structure is a modern organizational structure and it is characterized by its dual division of responsibilities. This means that its hierarchy takes place in two dimensions, horizontally and vertically. The Matrix Organizational Structure consists of two forms of organizational structures, the Functional Organizational Structure and the Project Organizational Structure. While the Functional Structure is considered to be the main structure, the Project Structure is described as the one being added on. Flexibility, efficient communication and dynamic business running are only some of the attributes that stand out in the Matrix Structure. The goal of this structure is to effectively adapt to all the requirements of its environment and the market in which it operates. In order to achieve all of this, it is necessary to coordinate all the elements of the organization and their functioning. When doing so, the attention should be focused on the elements of human resource management and internal relations. These two elements stand out in particular because by achieving their harmony, the shortcomings of this form of organizational structure become negligible. In this case human resource management is in charge of selecting the employees who would best suit the dynamics of the Matrix Organization considering the unstable environment in which this organizational structure operates. On the other hand, internal relations within the Matrix Organizational Structure are in charge of coordinating and regulating, not only the selected employees, but all the other factors and elements of the organization.