Project managers' (PMs) performance greatly affect their construction companies' profitability. Forty-seven required attributes of a PM were prioritised through a structured questionnaire survey. These attributes were assigned to groups with the aid of the 'big five personality traits' and identified as selection criteria. Simos method was implemented to determine the weights of the criteria. Seven classifications were proposed, including: 'conscientiousness', 'cognitive abilities', 'extraversion', 'agreeableness', 'capabilities', 'openness' and 'other qualifications'. The 'conscientiousness' personality trait received most of the identified attributes. Seven hypothetical PM profiles were created that directly corresponded to each of the proposed classifications. These seven profiles were ranked using PROMETHEE multi-criteria methodology. The resulting ranking from the most to the less competent one is: conscientiousness, cognitive abilities, extraversion, agreeableness, capabilities, openness and other qualifications.