According to the invention, there is provided a novel romaine lettuce cultivar, designated Rocky Row. ‘Rocky Row’ is described as a vigorous romaine cultivar recommended for the main lettuce growing regions of California for the spring sowing. It has lighter plant weight, long core length, tall plant height, long leaf length, with resistance to Tomato bushy Stunt virus, and lettuce downy mildew. This invention thus relates to the seeds of lettuce cultivar Rocky Row, to the plants of lettuce cultivar Rocky Row, to plant parts of lettuce cultivar Rocky Row, to methods for producing a lettuce cultivar by crossing the lettuce cultivar Rocky Row with another lettuce cultivar, and to methods for producing a lettuce cultivar containing in its genetic material one or more backcross conversion traits or transgenes and to the backcross conversion lettuce plants and plant parts produced by those methods.