Described is an anti-vibratory handle for installation on a reciprocating tool supplied with a pressurized fluid and producing vibrations in the direction of an axis of reciprocation of the tool. The anti-vibratory handle comprises a stationary portion mounted to a body of the tool, a mobile portion comprising a hand-grip member and an articulation between the stationary and mobile portions. This articulation comprises a pivot assembly interconnecting the stationary and mobile portions, the pivot assembly defines a pivot axis substantially perpendicular to the tool reciprocation axis, and the hand-grip member of the mobile portion is spaced apart from both the pivot axis and the tool reciprocation axis. The articulation also comprises a resilient vibration-damping assembly interposed between the stationary and mobile portions to avoid transmission of vibrations through the articulation. At least one conduit extends through the mobile portion, the articulation and the stationary portion to supply pressurized fluid to the tool.