The article discusses ways to manage conflicts in organizations and work groups of projects. Conflict management is included as an integral part of one of the general functions of management - according to different opinions, either in the function of administration or coordination. However, in any case, the importance of resolving conflicts in order to achieve the goals of the project is undeniable. All approaches to defining a style and a set of specific actions for managing conflicts are on the scale of preferences, from caring for people to caring about solving a given problem. There are five main approaches: cooperation, competition, evasion, accommodation (unilateral concession) and compromise (mutual concession). Based on the specifics of business and management practices, it is argued that some of these styles are more typical for different countries and others less typical. However, Russia is assessed as a civilization without a pronounced domination of collectivism or individualism, which testifies in favor of the acceptability of all styles, depending on the specific situation. Some characteristics of situations in which certain methods of conflict management in the project working group are more or less acceptable than others are considered. It is concluded that in order to improve the efficiency of the project team, an accurate and realistic assessment of its team, leader and the current situation is important.