This article analyses the possibilities of the practical utilization of Critical Chain Project Management methodology. Our study analyzed key processes related to the implementation and utilization of such a tool in a concrete company. For this purpose an original program was created. The logic of this program is based on the fundamental principles of the CCPM methodology. The impetus for the design and creation of such a program stemmed from the almost non-existence of such a tool on the Czech market. The theoretical part of the article focuses concisely on the Theory of Constraints and Critical Chain principles, which the conceptual ideas of all algorithms included in the new program come from.The system was used for two years and it enabled the processing of requests significantly faster than before. The evaluation of economical and practical benefits based on real project data demonstrates that after implementation of the Appello system and corresponding rules of usage, project managers completed more tasks in the first year than in the previous two years in which the CCPM was not applied and nearly 85% of planned requests were either on time or delayed up to 30 days in comparison with the amount of work from the preceding two years.Currently, a significant number of project oriented companies are looking for competitive advantages which, allow for the mastering of the largest number of projects that have a delivery time specified within agreed time frames. The use of our system or similar ones designed according to CCMP rules fully ensures the fulfilment of such requirements.