A tilting inversion exerciser includes a carrier attached to a supporting stand for mounting a supporting table, the supporting table includes a number of grooves, and a massage member is engaged with either of the grooves of the supporting table for attaching to the supporting table and for massaging the user. The massage member includes a block having a screw hole for engaging with the supporting table, and a threaded shank extended from a knob for engaging through either of the grooves of the supporting table and for engaging with the screw hole of the block and for detachably securing the massage member to the supporting table at selected positions.