A new and distinct cultivar of Strawberry plant named ‘P061105’, characterized by its upright plant habit; moderately vigorous to vigorous growth habit; uniform fruit ripening; large conical fruits that are glossy and orange red in color with seeds positioned slightly below the surface; pleasant fruit aroma and taste; good fruit postharvest longevity; long flowering and fruit harvesting period; and low susceptibility to Podosphaera aphanis (powdery mildew) and Phytophthora cactorum.