In this note we present a simple alternative proof for the Bernstein problem in the three dimensional Heisenberg group   $\text{Ni}{{\text{l}}_{3}}$  by using the loop group technique. We clarify the geometric meaning of the two-parameter ambiguity of entire minimal graphs with prescribed Abresch-Rosenberg differential.
 $\text{Ni}{{\text{l}}_{3}}$  by using the loop group technique. We clarify the geometric meaning of the two-parameter ambiguity of entire minimal graphs with prescribed Abresch-Rosenberg differential.