In　order　to　meet　the　needs　of　transporting　cells　and　macromolecules　in　such　areas　as　medical　mechanism,　sanitation　and　health　care,　a　new　type　of　piezoelectric　pump,　the　Valveless　Piezoelectric　Pump　with　Y-shape　Tubes　(VPPYT),　is　presented　and　its　vibration　and　pump　flow　rate　are　analyzed.　The　structures　and　characteristics　of　VPPYT　and　its　tubes　are　introduced　firstly.　Then,　based　on　the　bending　vibration　theory　of　thin　circular　board,　the　vibration　of　the　piezoelectric　actuator　is　analyzed　theoretically.　After　that,　through　analyzing　the　fluid　state　in　VPPYT　and　its　tubes,　the　equation　for　the　calculation　the　pump　flow　rate　is　established.　Finally,　Finite　Element　Method　(FEM)　is　employed　to　simulate　the　flow　state　in　the　Y-shape　tubes　to　obtain　the　flow　resistances　and　pressure　variation　rules　along　the　positive　and　negative　directions,　respectively.　The　experimental　results　show　that　the　theoretical　and　experimental　pump　flow　rates　follow　the　same　variation　trend,　and　the　minimum　relative　error　between　the　two　results　is　12%.　Thus　the　validity　and　correctness　of　the　theoretical　analysis　and　the　numerical　simulation　are　proved.