Abstract: The robot comprises a chassis (1) with a first set of legs (2a, 2b) with suction pads (6) on tilting supports (7) mounted in a linearly displaceable manner with regard to the chassis and a second set of legs (4) with suction pads (17) mounted in a rotary manner with regard to the chassis. Certain control means are adapted in order to control the functioning of said first and second sets of legs in a coordinated manner for displacing the chassis in any direction on the work surface (S). It includes support feet (9) and a system for leveling the chassis in relation to a curvature of the work surface. Fitted on the chassis is a work unit (44) with a head (19) for working on the work surface via an opening (12) in the chassis.