The paper describes a problem of project maturity of Polish and foreign construction companies. They were analyzed by their ability to execute construction investment projects. Survey results refer to issues related to the organizational culture and challenges connected with an improvement of the processes of project management for construction. Generation Y employees, their value, and their role at work were discussed in particular. It was underlined that modern managers should be able to profit from skills of Generation Y and to employ and retain the best of them in order to build a competitive advantage of the company. It was revealed that a success of the company is connected with an increasing level of project maturity as a condition for a successful project management.