Usingtherecentlydevelopedfinite-basis-setmethodwithBsplines,excitedstatesofHatomsinamagneticfieldhavebeencalculated.Energylevelsarepresentedforthetenexcitedstates,2s_0,3d′_0,3p_0,3d_(-1),3d_(-1),4d_(-1),3d_(-2),4d_(-2),4f_(-2),and5f_(-2)asafunctionofmagneticfieldstrengthswitharangefromzeroupto2.35×10~6T.Theobtainedresultsarecomparedwithavailablehighaccuracytheoreticaldatareportedintheliteratureandfoundtobeinexcellentagreement.Thecomparisonalsoshowsthatthecurrentmethodcanproduceenergylevelswithanaccuracyhigherthantheexistinghighaccuracymethod[Phys.Rev.A54(1996)287].Herehighaccuracyenergylevelsareforthefirsttimereportedforthe3d′_0,4d_(-1),4d_(-2),4f_(-2),and5f_(-2)states.