A new and distinct cultivar of Hydrangea plant named ‘;HYLV02’;, characterized by its compact, upright to somewhat spreading and mounded plant habit; moderately vigorous to vigorous growth habit and moderate growth rate; freely branching habit with strong and sturdy stems; freely and uniformly flowering habit; compact and dense panicle-type inflorescences with numerous light green to white-colored sterile flowers that become light red purple in color with development; and good landscape performance.