A new and distinct variety of polyantha rose plant, herein referred to as ‘;Zlepoltwo’;, is provided which forms abundantly on a substantially continuous basis attractive, double white colored blossoms. Attractive, semi-glossy, medium green foliage is formed, which contrasts beautifully with the blossoms. The vegetation is vigorous and the growth habit is very bushy and compact. The new variety is well suited for providing attractive ornamentation in the landscape.