A　boundary　element　method　(BEM)　is　developed　to　study　the　static　and　dynamic　fracture　problems　in　a　thin　piezoelectric　structure.　The　method　uses　quadrature　formula　and　the　collocation　method　for　the　temporal　and　spatial　discretization.　A　quadratic　quarter-point　element　is　implemented　at　the　crack　tip.　The　strongly　singular　and　hypersingular　integrals　are　evaluated　by　a　regularization　technique　based　on　a　suitable　variable　change.　The　nearly　singular　integrals　arisen　in　thin　structures　are　dealt　with　in　two　ways.　One　is　based　on　a　nonlinear　coordinate　transformation　for　curve-quadratic　element,　and　the　other　is　based　on　an　analytical　integration　method　for　straight　quadratic　element.　A　displacement　extrapolation　technique　is　used　to　determine　the　intensity　factors　(IFs)　including　the　stress　intensity　factors　(SIFs)　and　electrical　displacement　intensity　factor　(EDIF).　Numerical　examples　are　presented　to　verify　the　effectiveness　and　stability　of　present　BEM　in　a　thin　piezoelectric　structure.　©　2013　WIT　Press.