Abstract: SDYM-field is a holomorphic vector bandles over twistor Euclidean Space covered by two patches U₁ and U₂. In this paper, the property of the field on each patch and relationship between them are found. We point out that if the field on one patch correspond to the left SDYM-J equation, then on the other patch will be right SDYM-J equation. The Lagrangian form of the field is also found, which has relation to H_n=SL(n, c)/SU(n) nonlinear sigma model with Wess-Zumino terms.