An anchoring assembly and method adapted to secure a screw fastener at a pre-drilled hole in a concrete, brick or masonry building material with an elongated engagement cavity between the screw and the pre-drilled hole radially offset to one side of and extending axially along the depth of the hole, an elongated anchor strip axially adjacent the screw including an elongated malleable and non-resilient anchor member adapted to frictionally engage both the helical threads and the building material and to frictionally engage the threads to the building material radially opposite to the engagement cavity, the malleable anchor member having at least one transverse dimension which is substantially greater than the transverse radial dimension of the axial engagement cavity.