Abstract: By constructing new conformal mapping and using complex variable function method, anti-plane problem of isotropic piezoelectroelastic solids containing regular triangle hole with smooth vertices which emanates edge crack was studied. Under the assumption that the surfaces of the crack and hole were electrically permeable and electrically impermeable, respectively, and their surfaces are free traction, combined with Cauchy integral and complex variable function method, the expressions of the field intensity factors and the energy release rates near crack tip were obtained. The numerical examples were conducted to show the influences of the geometrical parameters of crack and applied mechanical loads on energy release rate and mechanical strain energy release rate under different boundary conditions. The results show that, under the electrically permeable and impermeable boundaries, the increases of the length of crack and the size of triangle hole lead to the increase of the energy release rate. The mechanical loads always promote crack growth. Under the electrically impermeable boundary the electric displacements may promote or retard the crack growth, but the electric displacements have no effect on the crack growth under the electrically permeable boundary.