An elastic-plastic finite element analysis of the crack-tip field in a WC-Co alloy was performed to achieve a detailed understanding of ductile fracture in a Co phase. A model in which a Co phase was embedded at the crack tip in an elastic solid was employed, and Gurson's constitutive equations for porous plastic material were used for the Co phase in order to take into account the nucleation and growth of the microvoids. The effects of the shape of the Co phase and the stress state (plane stress or plane strain) on the distributions of hoop stress, hydrostatic stress and microvoid volume fraction were discussed using the computational results. The process of ductile fracture under constraints of deformation was also discussed.