The paper verifies the long-run determinants of the demand for money in Slovakia. Approvingly to theoretical assumptions, this paper confirms money demand positively responding to an increase in real income and short-run interest rate and negatively to a rising in long-run interest rate, real effective exchange rate and the rate of inflation. This work is the first part of the complex study in demand for money, in which we can make an answer to question about a relevancy of the quantitative theory of money in Slovak money market.