The article analyses the impact of the changes in monetization on the broad money demand in Poland. A new broad money aggregate M3+ is proposed. The improbably high income elasticity of money, which is a usual result of standard money demand framework estimations on the Polish data from mid-nineties on, can be lowered when including the monetization trend into the money demand equation. The monetization trend is approximated with the logistic curve. Inserting monetization trend into the money demand yields the income elasticity of 1.19 which stays in line with the economic theory and empirical evidence from other countries.