In a method for connecting a reinforcement or facing of hydraulic-setting material of cement mortar mixture or concrete mixture on a structural component, a multi-layer reinforcement mat is attached to a structural component. A smoothing cement of hydraulic-setting material is filled into outer fabric layers of the reinforcement mat. The smoothing cement is allowed to set to form a substitute formwork. Into the space between the substitute formwork and the structural component a flowable cement mortar mixture or concrete mixture is filled in.