A new and distinct Torenia plant named 'Dantorwhite' particularly characterized by having shiny green foliage, dotted with plenty of delicate, cup shaped flowers in shades of white with a yellow throat; bush cascading, vigorous, compact rounded growth, densely branched; early flowering, flowers all year round in moderate climate; suitable for use as an annual for hanging pots outdoors under partial shade; and good weather tolerance with preferred temperature range of 15-25 C.