A vibration clamp assembly for clamping a pipe to a support, the assembly comprising: an inner clamp arranged to encircle and engage the pipe; an outer clamp arranged to encircle the inner clamp and mount to said support; a plurality of damping blocks fixed to the periphery of the inner clamp and positioned to engage the outer clamp; wherein the damping blocks include a damping layer intermediate the inner and outer clamps, said damping layer arranged to dampen vibration loads from the pipe.