The part has an annular seal (20) adapted for labyrinth seal and having a height, in radial direction, varied along its circumference by forming a set of projecting parts. The projecting parts are formed by U shaped clamps (30), where three of the projecting parts are distributed angularly. The clamps are fixed by overlapping in a hollow cavity realized in the seal, where the clamps have a profile complementary to the seal. Each part has a height increasing from an interval until a point and decreasing from the point until a following interval. An independent claim is also included for a method of manufacturing an annular seal adapted to labyrinth seal on a thermomechanical part of a turbomachine.
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