A structure for covering surfaces, comprising: - a fixing bracket having a connecting portion, stably anchorable to a load-bearing structure, and a coupling portion integral with the connecting portion and defining a concave seat; - a first panel and a second panel, each having a main portion and, on opposite sides of said main portion, a first coupling portion at least partially shaped, protruding from said main portion, and a second coupling portion at least partially shaped, protruding from said main portion, wherein said first panel further has an end relief arranged adjacent to said first coupling portion; preferably the second coupling portion of the second panel being at least partially counter-shaped to the first coupling portion of the first panel; in a configuration of use the second coupling portion of the second panel being applied to the first coupling portion of the first panel according to a unique and predetermined positioning, in particular by a shape-coupling, such that the second panel covers the first panel at said coupling portions (6, 7) coupled to each other; wherein the coupling portion of the fixing bracket is configured to interpose, in said configuration of use, between the first panel and the second panel and to house said end relief inside said concave seat; said structure further comprising: - an anchoring bracket fixable to the load-bearing structure; said anchoring bracket comprises a cavity housing the connecting portion of the fixing bracket; - first connection means for stably fixing the anchoring bracket to the load-bearing structure and second connection means for stably fixing the fixing bracket inside the cavity of the anchoring bracket, wherein said anchoring bracket has a recess configured to house an end portion of the first panel interposed between the first coupling portion and said end relief; characterized in that said connecting portion of the fixing bracket has a substantially "L-shaped" configuration defining a first flat section extending transversely to a second section near the coupling portion. - a fixing bracket having a connecting portion, stably anchorable to a load-bearing structure, and a coupling portion integral with the connecting portion and defining a concave seat; - a first panel and a second panel, each having a main portion and, on opposite sides of said main portion, a first coupling portion at least partially shaped, protruding from said main portion, and a second coupling portion at least partially shaped, protruding from said main portion, wherein said first panel further has an end relief arranged adjacent to said first coupling portion; preferably the second coupling portion of the second panel being at least partially counter-shaped to the first coupling portion of the first panel; in a configuration of use the second coupling portion of the second panel being applied to the first coupling portion of the first panel according to a unique and predetermined positioning, in particular by a shape-coupling, such that the second panel covers the first panel at said coupling portions (6, 7) coupled to each other; wherein the coupling portion of the fixing bracket is configured to interpose, in said configuration of use, between the first panel and the second panel and to house said end relief inside said concave seat; said structure further comprising: - an anchoring bracket fixable to the load-bearing structure; said anchoring bracket comprises a cavity housing the connecting portion of the fixing bracket; - first connection means for stably fixing the anchoring bracket to the load-bearing structure and second connection means for stably fixing the fixing bracket inside the cavity of the anchoring bracket, wherein said anchoring bracket has a recess configured to house an end portion of the first panel interposed between the first coupling portion and said end relief; - an anchoring bracket fixable to the load-bearing structure; said anchoring bracket comprises a cavity housing the connecting portion of the fixing bracket; - first connection means for stably fixing the anchoring bracket to the load-bearing structure and second connection means for stably fixing the fixing bracket inside the cavity of the anchoring bracket, wherein said anchoring bracket has a recess configured to house an end portion of the first panel interposed between the first coupling portion and said end relief; characterized in that said connecting portion of the fixing bracket has a substantially "L-shaped" configuration defining a first flat section extending transversely to a second section near the coupling portion.