Machine for machining slab materials comprising: - a working plane configured to support a slab material to be machined; - a first tool-holder electrospindle associated to a respective supporting body , the first electrospindle and the respective supporting body being supported above said working plane by a respective supporting equipment perpendicularly movable with respect to the working plane and configured to move the first electrospindle and the respective supporting body about a rotation axis (Z) perpendicular to the working plane ; - a moving apparatus configured to move the supporting equipment in parallel to the working plane and along directions (X, Y) perpendicular to one another; - at least a second tool-holder electrospindle , rotationally and translationally integral with the first electrospindle , supported above said working plane in parallel to the first electrospindle by a respective supporting arm slidably supported by the supporting body of the first electrospindle ; - a first actuator device configured to act on the supporting arm of the second electrospindle to move said supporting arm and said at least a second electrospindle supported by the same towards and away from said first electrospindle in parallel to said working plane and along a direction substantially perpendicular to a cutting plane extending perpendicularly to the working plane ; and - a second actuator device associated to said supporting arm of said at least a second electrospindle and configured to move said at least a second electrospindle along a direction perpendicular to the working plane independently of the first electrospindle . - a working plane configured to support a slab material to be machined; - a first tool-holder electrospindle associated to a respective supporting body , the first electrospindle and the respective supporting body being supported above said working plane by a respective supporting equipment perpendicularly movable with respect to the working plane and configured to move the first electrospindle and the respective supporting body about a rotation axis (Z) perpendicular to the working plane ; - a moving apparatus configured to move the supporting equipment in parallel to the working plane and along directions (X, Y) perpendicular to one another; - at least a second tool-holder electrospindle , rotationally and translationally integral with the first electrospindle , supported above said working plane in parallel to the first electrospindle by a respective supporting arm slidably supported by the supporting body of the first electrospindle ; - a first actuator device configured to act on the supporting arm of the second electrospindle to move said supporting arm and said at least a second electrospindle supported by the same towards and away from said first electrospindle in parallel to said working plane and along a direction substantially perpendicular to a cutting plane extending perpendicularly to the working plane ; and - a second actuator device associated to said supporting arm of said at least a second electrospindle and configured to move said at least a second electrospindle along a direction perpendicular to the working plane independently of the first electrospindle . <EOS>