Andrzej Pabich, head of the zoo in Borysew, said white lions often have defects that prevent giving birth, or mothers may reject the cubs. Triplets are rare.
Pabich said on Tuesday that the 2 -year old white lioness Azira has been patiently feeding and caring for the cubs that were born on 28 January. Their father, 3 year old Sahim, who is also white, is kept in a neighbouring cage.
The cubs will be allowed into an outdoor run in April.
Opened in 2008, the zoo has animals of 80 species including white tigers and white camels.