A laser cutting head powered by a laser emission apparatus includes a collimation device to collimate a laser beam coming from the laser emission apparatus and a focusing lens which focuses a collimated laser beam from the collimation device. The lens is supported in a casing and is movable along an adjustment direction to change a focal point of the laser beam. A cooling unit is connected with the casing and includes at least one Peltier cell and a heat dissipation element. A thermal conductive element connects a support for the lens with the cooling unit to extract heat generated by the laser beam passing through the lens by thermal conduction from the support and from the lens.