In this paper, the demand for real money M1, M2, and M3 is estimated for Austria over the time period 1965-96. The modelling takes place within the framework of a small vector autoregression. To estimate the demand for money, two-equation error-correction models are constructed, which contain the short-run dynamics and the long-run economic equilibrium. It is found that a stable money demand exists for all monetary aggregates. The long-run equilibrium of M1, after accounting for a structural break in 1979, can be characterised as a classical type of money demand, with no interest rate effects and an elasticity of one for real GDP. In the case of M2 and M3, we find a unit coefficient on income and a significantly negative influence of a long-term interest rate. The statistical properties of the estimated short-run money demand equations - considering in-sample and out-of-sample tests - are generally very good.