A shock mount support assembly for a shock absorber of a suspension assembly of an axle/suspension system includes a shock support bracket formed with an opening. A fastener is disposed through the opening in the shock support bracket and an eyelet of the lower end of the shock absorber to loose-fit the shock support bracket to the shock absorber, and to the suspension assembly beam in a transverse direction. The shock support bracket includes at least one transversely elongated or oversized opening that aligns with an opening formed in the beam. A fastener is disposed through the pair of aligned openings in order to loose-fit attach the shock support bracket to the beam. During assembly, the eyelet fastener is tightened first drawing the shock support bracket transversely outboardly. The fastener disposed through the shock support bracket-to-beam attachment is tightened, rigidly attaching the shock support bracket to the suspension assembly.