A domestic appliance assembly comprising at least two machines, each of which being provided with control means able to receive program inputs set by a user and operative information transmitted by the other machine so as said machines can perform their functions in an integrate and synchronised way.Each machine (10,12) comprise a wireless communication module (14) adapted to exchange information directly between the machines and means (16) to process said information and to synchronise the machine functioning.The domestic appliance assembly according to the invention allows to accomplish a better power management, to avoid electrical overloads, and to synchronise the appliance functioning.