A structural set for assembling a header intended for harvesters is capable of compensation of the lateral movement of the header according to the ground conditions of the planting rows being harvested. More particularly, a structural set for assembling a header in an agricultural machine comprising a girder with a central beam interconnected to at least two structural columns, the central beam being provided with a pivoting point for engaging and fastening a bracket, and at least one return element of the bracket for returning the bracket in a substantially horizontal position when at rest.