A process for the preparation of vinyl acetate by a heterogeneously catalysed, continuous gas-phase reaction of ethylene, acetic acid and oxygen in a reactor, where process heat liberated during the reaction is removed from the reactor by means of heat exchange with water, generating intrinsic steam, the product mixture leaving the reactor and comprising ethylene, vinyl acetate, acetic acid, water, carbon dioxide and inert gases is separated by distillation using one or more azeotrope columns and/or one or more pure distillation columns, wherein at least one azeotrope column and/or pure distillation column contains packings, and intrinsic steam is used at least partially for introducing energy into the thus-equipped azeotrope columns and/or pure distillation columns.