In order to further research the schur complements properties of strictly γ‐diagonally dominant matrix ,the triangle‐schur complements of strictly γ‐diagonally dominant matrix is obtained by extending the schur complements and diagonal‐schur complements .It is proved that the triangle‐schur complements is still strictly γ‐diagonally dominant matrix by properties of strictly γ‐diagonally dominant matrix .Final‐ly ,the numerical example is given to illustrates the effectiveness of the criteria .