In a process for producing para-xylene, benzene and/or toluene is alkylated with methanol in the presence of a catalyst under conditions including a temperature of at least 500° C. and an H2O partial pressure of at least 12 psia (83 kPaa). The catalyst comprises from 5 to 15 wt % ZSM-5, phosphorus or a compound thereof and a binder and has been steamed at a temperature of at least 900° C. The steamed catalyst has no more than two peaks in the 31P MAS NMR spectrum in the range of 0 to −50 ppm.