Equipment for fitting panels for insulating covers, such as “standing seam” panels for insulating housing roofs, includes an upper sheet, a lower sheet and an expanded polymer intermediate layer. A working unit extends along a longitudinal axis, which corresponds to the working line of the panels. A supply unit is coupled to the working unit, by a transfer unit extending along a horizontal longitudinal axis perpendicular to the longitudinal axis of the working unit, for supplying reinforcement plates having a thrust portion and a flat portion. The working unit includes a carriage movable along the longitudinal axis. The carriage includes dies configured to cut and deform one end of the upper sheet of the panels and a thrust member for introducing reinforcement plates into a tail end of the expanded polymer intermediate layer. The thrust member is placed downstream of the dies along the working direction of the panels.