This study aims at estimating the money demand function for Turkey using quarterly data. Estimation is done, for both Ml and M2, using Johansen procedure, which is a variate of the theory of cointegration. The results of the Johansen procedure shows that real income is positively and expected loss is negatively related with demand for Ml and M2. Also, some linear restrictions are tested, by restricting the money demand coefficients. The results of these tests show that Tobin-Baumal model and unit elasticity of income are rejected for both Ml and M2.