This paper examines the effect of sectoral demand for military expenditure on the peace dividend between Greece and Turkey by employing a multi region dynamic CGE model. A general purpose of the study is to examine the prospect for conflict resolution if Turkey become a member state for the EU. This would expected to create a peace between the two countriesin, hence a possible cut back on military expenditure. The model allows to analyse several scenarios; a positive scenario is a certain amount of reduction on Military Expenditure/GDP (ME/GDP) ratios. This may cause a decrease in sectoral demand for military expenditures. This re-allocation scenarios may effect the sectoral distributýon and a higher GDP growth, higher private consumption, lower unemployment, lower interst rates, economic stability and increased FDI for Turkey and improved BoP in both countries in a different level. The economic stability and some spillover effects are some other economic benefits to the EU.