A new and distinct cultivar of Poinsettia plant named ‘PER508’, characterized by its compact, uniform, upright and mounded plant habit; moderately vigorous growth habit; freely and upright branching habit; very dark green-colored leaves with sinuate margins that give the leaves a textured appearance; under natural season conditions, plants flower on or about December 5 in Southern California; large inflorescences with burgundy-colored flower bracts; and good post-production longevity.