Lorentz　force-piezoelectric　coupled　magnetoelectric　(ME)　effect　and　piezomagnetic-piezoelectric　coupled　ME　effect　were　compared　in　PZT/nonmagnetic　and　PZT/magnetostrictive　metal　cylindrical　layered　composites　under　axial　magnetic　fields.　While　only　the　Lorentz　force-piezoelectric　ME　effect　is　observed　in　PZT/brass　and　PZT/Al　cylinders,　both　ME　effects　are　present　in　PZT/magnetostrictive　Ni　cylinder.　The　ME　voltage　linear　dependence　on　DC　magnetic　field　and　constant　-90　degrees　ME　voltage　phase　reflect　the　Lorentz　force-piezoelectric　ME　effect.　For　the　PZT/Ni　cylinder　under　low　DC　magnetic　field,　the　ME　voltages　from　the　two　ME　effects　tend　to　be　anti-phase,　and　the　piezomagnetic-piezoelectric　ME　voltage　is　much　higher　than　the　Lorentz　force-piezoelectric　ME　voltage.　However,　under　high　DC　magnetic　field,　the　Lorentz　force-piezoelectric　ME　effect　plays　a　dominant　role.　These　results　indicate　that　the　PZT/Ni　cylinder　is　favorable　to　DC　magnetic　field　detection　in　wide　range.　(C)　2017　Elsevier　B.V.　All　rights　reserved.