We　experimentally　demonstrated　a　Q-switched　mode-locked　(QML)　and　a　continuous-wave　mode-locked　(CWML)　ytterbium-doped　fiber　lasers　with　topological　insulator:　Bi2Se3　as　saturable　absorber　(SA)　in　all　normal　dispersion　regime.　The　Bi2Se3-SA　is　conventionally　composited　by　embedding　Bi2Se3　nanoplatelets　into　polyvinyl　alcohol　thin　film,　which　provides　a　modulation　depth　of　7.6%　and　a　saturation　intensity　of　38.9　MW/cm(2).　Based　on　this　SA,　with　different　cavity　length,　ytterbium-doped　fiber　laser　can　be　operated　at　QML　and　CWML　state,　respectively.　In　the　QML　operation,　a　Q-switched　envelope　has　the　shortest　pulse　width　of　1.12　mu　s　and　the　tunable　repetition　rate　from　96　to　175　kHz.　The　largest　pulse　envelope　energy　is　39.6　nJ,　corresponding　to　average　output　power　of　6.93　mW.　In　the　CWML　operation,　an　environmentally　stable　dissipative　soliton　laser　pulse　with　pulse　duration　of　similar　to　210　ps　is　obtained.　The　single　pulse　energy　is　0.83　nJ　with　the　repetition　rate　of　11.38　MHz　at　the　wavelength　of　1037　nm.　(C)　2016　Society　of　Photo-Optical　Instrumentation　Engineers　(SPIE)