Abstract: This paper is the continuation of the study of an infinite triangular crack In an infinite elastic solid, in which the singular stresses for mode Ⅱ and mode HI crack problems are obtained. It is shown that they have the same singularities as mode I crack problems:they have the r^-1/2 singularities along the straight border of the crack, and at the corner of the crack, the singularities become weak when the corner of the crack is convex and strong when concave.