The　ion　energy　and　angular　distributions　of　H+,　H　2　+,　and　H　3　+　impinging　on　an　extraction　aperture　(3　mm　in　radius)　have　been　investigated　with　a　hybrid　model　of　an　inductively　coupled　H2　ion　source.　A　dc　is　applied　at　the　end　of　the　cylinder　discharge　chamber,　which　pulls　these　three　ions　toward　the　extraction　aperture.　With　an　increase　in　the　bias　voltage,　their　ion　angular　distributions　(IADs)　become　more　symmetrical　about　the　0　axis　and　the　full　width　at　half-maximum　(FWHM)　of　their　IADs　shrinks　continuously.　On　the　other　hand,　the　ion-energy　distributions　(IEDs)　of　the　three　ions　first　form　a　single　peak　(V　bias　290　V).　The　interval　between　two　IED　peaks　(Δ　E)　first　increases　to　a　maximum　around　150　V　and　then　decreases　monotonously.　This　can　be　attributed　to　the　variation　of　the　ratio　of　the　ion　transit　time　through　the　sheath　(τi)　to　the　rf　field　period　(τrf).　Moreover,　the　FWHMs　of　IEDs　of　H+,　H　2　+,　and　H　3　+　first　increase　to　2.62,　2.45,　and　2.32　eV　around　Vbias　=　150　V,　respectively,　and　then　decrease　continuously　with　the　bias　voltage.　Using　a　low　rf　power　and　low　gas　pressure　may　help　to　narrow　the　FWHM　of　the　IEDs　of　the　three　ions.　The　hybrid　model　is　verified　by　comparing　the　results　from　the　simulation　and　experiment,　and　they　exhibit　a　qualitative　agreement.　The　results　in　this　work　could　lead　to　deeper　insights　into　the　dependence　of　IADs　and　IEDs　on　the　discharge　parameters,　which　is　important　for　realizing　a　monoenergetic　and　collimated　ion　beam　in　a　proton　or　an　ion　accelerator.　©　2020　Author(s).