The goal of the article lies in forecasting tendencies of the current demand of the local labour market on the basis of the method of statistical equations of dependencies and correlation and regression analysis for prolongation of relevant processes at the meso-level. The article considers a forecast model for co-ordination of dynamics of vacancies depending on socio-economic indicators of city development, which is formed on the basis of the method of statistical equations. This method requires identification of parameters of equations of single-factor dependencies and ratios of communication stability. On the basis of calculated values of these parameters and on the basis of economic and mathematical modelling of certain macro-economic indicators, the article builds equations of multiple regression, use of which would allow forecasting the current demand in the local labour market in the middle-term perspective. The prospect of further studies is forecasting the level of current balance of the local labour market, using the provided methods for forecasting the current supply.