A new and distinct cultivar of Poinsettia plant named ‘PER1362’, characterized by its uniform, upright and mounded plant habit； vigorous growth habit； freely and upright to somewhat outwardly branching habit； dark green-colored leaves； under natural season conditions, plants flower on or about November 8 in Southern California； large inflorescences with peach-colored flower bracts with dark pink-colored flecks and spots； and good post-production longevity.
