A　2-D　time-domain　boundary　element　method　(BEM)　is　developed　to　study　the　static　and　dynamic　fracture　problems　in　thin　piezoelectric　structures　under　electromechanical　loadings.　The　traditional　displacement　boundary　integral　equations　(BIEs)　are　applied　on　the　external　boundary　and　the　hypersingular　traction　BIEs　are　applied　on　the　crack　faces.　The　present　time-domain　BEM　uses　a　quadrature　formula　for　the　temporal　discretization　to　approximate　the　convolution　integrals　and　a　collocation　method　for　the　spatial　discretization.　Quadratic　quarter-point　elements　are　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　by　two　ways.　The　first　one　is　based　on　a　nonlinear　coordinate　transformation　method　for　curve-quadratic　elements.　The　second　method　is　on　an　analytical　integration　method　for　straight　quadratic　elements　to　avoid　the　nearly　singularity.　A　displacement　extrapolation　technique　is　used　to　determine　the　dynamic　intensity　factors　(DIFs)　including　the　dynamic　stress　intensity　factors　(DSIFs)　and　dynamic　electrical　displacement　intensity　factor　(DEDIF).　Some　examples　are　presented　to　verify　the　effectiveness　and　stability　of　present　BEM　in　thin　piezoelectric　structures.