A new and distinct cultivar of Hibiscus plant named ‘DUP-CSMR’, characterized by glossy, dark green leaves, upright habit appropriate for container production and culture, freely flowering habit, and a flower having a small, dark red eye, a brownish yellow zone which radiates from the eye, into a brownish orange zone, and a brownish orange edge. In Summer heat, the brownish orange zone is intensified in color and expanded, such that it extends to the eye zone, and light to heavy spotting of yellow may be present.