A method for fitting at least one insulating panel thickness on the surface of a wall, said method comprising the following steps: - obtaining at least one bracket for fitting an insulating panel (P) on a surface of a wall (M) comprising a fixing plate intended to be fixed to said surface and a holding plate , said holding plate extending substantially at right angles to said fixing plate in order to hold said insulating panel (P), characterized in that said bracket further comprises anti-tilting holding means arranged to prevent the insulating panel (P) from tilting on itself, wherein said anti-tilting holding means comprise at least one tooth extending protrudingly on a face of said holding plate , in particular at right angles from said holding plate or forming an acute angle with the holding plate toward the fixing plate . - fixing said bracket onto a surface of said wall (M); - obtaining an insulating panel (P); - pressing said insulating panel (P) onto the surface by exerting a thrusting strain such that the insulating panel is in contact, over its thickness, with the holding plate of said bracket; - relaxing the strain to allow said insulating panel (P) to revert to its initial volume and to allow the tooth of said bracket to hold the insulating panel (P); and if there is at least one second thickness of insulating panel to be fitted: - obtaining another insulating panel (P); - pressing said insulating panel onto the surface by exerting a thrusting strain such that the insulating panel (P) is in contact, over its thickness, with the holding plate of said bracket ; - relaxing the strain to allow said insulating panel (P) to revert to its initial volume and to allow the tooth of said bracket to hold the insulating panel (P). - obtaining at least one bracket for fitting an insulating panel (P) on a surface of a wall (M) comprising a fixing plate intended to be fixed to said surface and a holding plate , said holding plate extending substantially at right angles to said fixing plate in order to hold said insulating panel (P), characterized in that said bracket further comprises anti-tilting holding means arranged to prevent the insulating panel (P) from tilting on itself, wherein said anti-tilting holding means comprise at least one tooth extending protrudingly on a face of said holding plate , in particular at right angles from said holding plate or forming an acute angle with the holding plate toward the fixing plate . - fixing said bracket onto a surface of said wall (M); - obtaining an insulating panel (P); - pressing said insulating panel (P) onto the surface by exerting a thrusting strain such that the insulating panel is in contact, over its thickness, with the holding plate of said bracket; - relaxing the strain to allow said insulating panel (P) to revert to its initial volume and to allow the tooth of said bracket to hold the insulating panel (P); - obtaining another insulating panel (P); - pressing said insulating panel onto the surface by exerting a thrusting strain such that the insulating panel (P) is in contact, over its thickness, with the holding plate of said bracket ; - relaxing the strain to allow said insulating panel (P) to revert to its initial volume and to allow the tooth of said bracket to hold the insulating panel (P). <EOS>