This invention relates to harvesting machines and more in particular, to harvesting machines capable of harvesting more than one crop row. In this scenario, this invention has the objective of providing a system for harvesting machines that make it possible to cut more than one crop row simultaneously. To this end, a cutting system for harvesting machines is proposed, comprised by at least two row dividers (6) and by at least two cutting elements (16), each of the at least two cutting elements (16) are positioned in the structure of each of the at least two crop rows (6). This invention further provides for a harvesting machine comprises said system.