Abstract: Abstract: The problem of anti-place kink cracks in the piezoelectric materials is analyzed by using complex functions. The coupled filed and intensity factors of the branching crack tip are also studied. Using energy release rate and Jintegral for the branching crack tip,the main crack growth path is considered. Research has shown that the deflection angle of anti-place crack propagation in the piezoelectric materials is zero,in other words . It is proved theoretically that the assumptions and corresponding conclusions of piezoelectric materials plane crack-growth by a straight line are correct in earlier period.