||This paper focuses on one of the toughest challenges that most of industrialized countries of the contemporary world have to be confroted, namely the problem of demographic aging. In analyzing this issue I proceed in several steps. First, through a general analysis of the impact of a phenomenon of population aging on the world's population, there are, more generally, described basic regularities of this process and its possible consequences on labor markets. The next steps focus on a particular case of the Czech Republic and its present demographic situation. Resulting from that analysis a detailed study of future population development follows, where the latest population projections from The Czech statistical office from year 2009 are used. Based on that study, I have created a model for future development of job-offer in the Czech Republic until year 2050 and then I analyzed characteristics of the future labour force. In conclusion, the results of this modeling are given in an international context. The conclusion I reached in this paper is that to offset the effects of demographic aging in the Czech republic, it will be necessary to use a set of measures, namely retirement age extention and increased participation particularly of the elderly population via high labor market flexibility and emphasis on education.