Abstract: The bending and shearing machine according to the invention comprises a framework, a table which can be vertically displaced and on which sheet metal, such as steel sheets, may slide as well as a rocker head which can be pivoted 180.degree.. The displacement of the table is carried out by means of a system including levers and pistons. One of the horizontal edges of the rocker head carries a knife while the other holds a wedge or a bending roller. The table includes a cutting matrix which carries a knife mounted at the end of the table and a bending matrix shaped to rest on the cutting matrix. The rocker head pivots according to an eccentric axis so that its knife and its wedge or bending roller are offset with respect to one another when they are in operation.