A wrap bracket assembly is provided for securing an elongated member. The assembly includes a bracket with a clamp extending from a base to wrap around the elongated member. The clamp defines an aperture, and includes side edges that extend around the elongated member. The assembly also includes a grommet forming a split tubular body that defines a substantially cylindrical cavity. The body has an axially extending opening through which the elongated member is inserted into the cavity. The body includes a pair of flanges, each of which engages one of the first and second side edges to nest the grommet within the clamp. A projection is provided that extends radially outward from the body and is received in the aperture to circumferentially align the grommet with the bracket.