Arrangement introduced in bracket with curvilinear ridges comprises one bracket for fixed braces that belongs to the orthodontics and, unlike conventional brackets, has unique geometry with specific functionalities, such as a clip that detaches close to the basis and rounded edges. The bracket with curvilinear ridges comprises two pieces, the clip/lock, which encapsulates the traction wire, and main structure, which is monoblock and has rounded corners. The main structure has a squared basis topped by an upper-basis covering all the width and a central third of the depth, being its height proportional to width and depth. Above the upper-basis, a “U” structure is developed with a quadratic profile that has four hooks in its upper vertexes, with concave upper portion and convex bottom portion, being one of these hooks equipped, at the head and in material continuity, by a spherical hook preceded by a connection segment with rectangular flat profile.