The invention relates to a torsion damping device (4) comprising: - a first movable element (13, 14) and a second movable element (15, 16) movable in rotation about an axis X, coaxial, - a central hub rotatably coupled to the second member; - at least one group of resilient members (25,26) acting against rotation of first member and second member relative to each other; a phasing member (32,33), formed by two parts (32,33) for arranging the elastic members of this group in series so that the elastic members of each group deform in phase with each other, and a pendular damper (48) rotatably connected to the phasing member, the phasing member being centered on the central hub by means of the pendulum damper.
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