The invention provides seeds and plants of pepper hybrid SVHJ5553 and pepper line HJA-FD15-1350. The invention thus relates to the plants, seeds, plant parts, and tissue cultures of pepper hybrid SVHJ5553 and pepper line HJA-FD15-1350 and to methods for producing a pepper plant produced by crossing such plants with themselves or with another plant, such as a pepper plant of another genotype. The invention further relates to seeds and plants produced by such crossing. The invention further relates to plants, seeds, plant parts, and tissue cultures of pepper hybrid SVHJ5553 and pepper line HJA-FD15-1350 comprising introduced beneficial or desirable traits.