In the article problems connected with vector autoregressive models (VAR) and vector error correction models (VECM) were introduced. Johansen's procedure which is useful in identifying cointegration relations was presented. Special tests (trace test, maximal eigenvalue test) which enables determination of number of cointegation relations were described. In empirical example attempt to appoint cointegration relation between expenditures and disposable incomes of households of employees on non-manual labour positions with using VAR and VECM models was made. At first stage integration of variables was tested with using Dickey - Fuller test. Johansen's procedure was applied to assign number of cointegration relations. On the basis of VECM long term marginal propensity to consume of analyzed households was estimated.