A new and distinct Torenia plant named `DANMOON20` particularly characterized by plenty of delicate, funnel form, cup-shaped flowers with yellow petals and a purple throat; mounded bush, which maintains a compact, rounded plant habit; vigorous growth habit; densely branched plant, gracefully cascading from hanging baskets; early flowering response and stays in full bloom in moderate climate; suitable as an annual for hanging pots outdoors under particular shade; and good weather tolerance with a preferred temperature range of 15.degree. C. to 25.degree. C.