Rectal prolapse, characterized by the protrusion of rectal mucosa or full-thickness tissue through the anal canal, significantly impacts quality of life, necessitating prompt intervention upon diagnosis. This case report presents the management of rectal prolapse in two cases admitted to our institution presenting with complaints of a prolapsing anal mass and many associated comorbidities and their subsequent surgical management using the Thiersch procedure. Following the procedure, both patients were monitored postoperatively, discharged once vitally stable, and kept on regular follow-up. Surgery is the primary therapy for rectal prolapse, and while various surgical techniques address rectal prolapse, anal encirclement procedures like the Thiersch procedure have been largely replaced by newer abdominal or perineal approaches. However, it is a valuable option for select patient populations. The Thiersch procedure is an ideal modality for treating high-risk patients with rectal prolapse or those patients with poor compliance for more extensive procedures. It can also be used temporarily until a further definitive treatment is planned later in the future.