A multi-grip socket bit comprising at least one screw bit body (1, 16, 17), wherein the multi-grip socket bit further comprises: the at least one screw bit body (1, 16, 17) comprising a plurality of laterally-bracing sidewalls, a first base and a second base; each of the plurality of laterally-bracing sidewalls comprising a first lateral edge, a second lateral edge, a bracing surface and an engagement cavity; the plurality of laterally-bracing sidewalls being radially positioned about a rotation axis of the at least one screw bit body (1, 16, 17); the first lateral edge and the second lateral edge being positioned opposite to each other across the bracing surface; the engagement cavity extending normal and into the bracing surface; the engagement cavity extending into the at least one screw bit body (1, 16, 17) from the first base towards the second base; the engagement cavity being positioned offset from the first lateral edge by a first distance; the engagement cavity being positioned offset from the second lateral edge by a second distance, wherein the first distance is less or greater than the second distance; the first lateral edge and the second lateral edge each being a corner; a cross-section of the engagement cavity adjacent to the first base being a partially-circular profile; the entire cross-section of the engagement cavity being parallel to the first base and the second base; the partially-circular profile being concave along a direction from the first lateral edge to the second lateral edge; the first base comprising a first base surface; the first base surface and the bracing surface each being flat; the first base surface and the bracing surface being oriented perpendicular to each other; an attachment body; the attachment body being centrally positioned around and along the rotation axis; and the attachment body being connected adjacent to the second base. the at least one screw bit body (1, 16, 17) comprising a plurality of laterally-bracing sidewalls, a first base and a second base; each of the plurality of laterally-bracing sidewalls comprising a first lateral edge, a second lateral edge, a bracing surface and an engagement cavity; the plurality of laterally-bracing sidewalls being radially positioned about a rotation axis of the at least one screw bit body (1, 16, 17); the first lateral edge and the second lateral edge being positioned opposite to each other across the bracing surface; the engagement cavity extending normal and into the bracing surface; the engagement cavity extending into the at least one screw bit body (1, 16, 17) from the first base towards the second base; the engagement cavity being positioned offset from the first lateral edge by a first distance; the engagement cavity being positioned offset from the second lateral edge by a second distance, wherein the first distance is less or greater than the second distance; the first lateral edge and the second lateral edge each being a corner; a cross-section of the engagement cavity adjacent to the first base being a partially-circular profile; the entire cross-section of the engagement cavity being parallel to the first base and the second base; the partially-circular profile being concave along a direction from the first lateral edge to the second lateral edge; the first base comprising a first base surface; the first base surface and the bracing surface each being flat; the first base surface and the bracing surface being oriented perpendicular to each other; an attachment body; the attachment body being centrally positioned around and along the rotation axis; and the attachment body being connected adjacent to the second base.