The implementation of construction projects is fraught with many hazards that are difficult to determine at the stage of the tender procedure. Usually, the identification of these hazards rests with the contractors. In many cases this diagnosis is not used due to the lack of access to reliable data and easy-to-use computer programs supporting the risk analysis process. In order to facilitate the analysis and risk assessment on Polish railway investments, the authors present a proposal for the assessment of potential hazards that may occur during the implementation of these investments with the use of their point assessment. The proposed method is an original attempt to apply a point assessment of risk factors, whose final result is ready investment risk assessment matrices at the design and execution stage of constructionworks. The basis for the development of matrices was questionnaire surveys involving a large group of experts with extensive professional experience. In addition, the project manager can set the partial weights of hazards separately for time and cost hazards depending on the assessment of the planned project. In order to quickly calculate the weights of individual risk factors for any defined time and cost of partial weights, the authors developed the proposed matrices in the form of a calculation sheet. The matrices can be used to assess potential hazards to future infrastructure investments.