A machine for filling containers, comprising dispensing heads, in which each dispensing head comprises at least two ports, which are connected to respective ducts for feeding different liquids, and is provided with elements for controlling the flow of the ducts which are controlled by automatic control elements which act as a function of the quantity of the individual portions of the different liquids that are meant to be introduced in a container, and are adapted to produce a sequential opening of only one of the ports, so as to fill each container by preset portions of the liquids which access sequentially the container.