In this paper the characteristics of the stress fields near a corner of jointed dissimilar materials under antiplane loads are studied. It is found that the singular stress fields due to the antiplane loads can be divided into two types: a symmetric type with the stress singularity of 1/r^<1-λ₁> and a skew-symmetric type with the stress singularity of 1/r^<1-λ₂>. If G₂<G₁, there exists only singularity of the skew-symmetric type, and if G₂>G₁, there exists only singularity of the symmetric type. An expression of stress field in the vicinity of the corner is presented. Based on this expression, the singular stress field is described always in terms of the constant K_{III, λ1} for the symmetric type or the constant K_{III, λ2} for the skew-symmetric type alone.