The List
There are 806 6 letter words with H as the first letter. The highest scoring is HUZZAH at 30 points in Scrabble. 226 carry three or more vowels, which makes them useful for dumping a vowel-clogged rack.
HABILEHABITSHABOOBHACEKSHACHISHACKEDHACKEEHACKERHACKIEHACKLEHACKLYHADDENHADDIEHADINGHADITHHADJEEHADJESHADJISHADRONHAEINGHAEMALHAEMICHAEMINHAERESHAFFETHAFFITHAFTEDHAFTERHAGBUTHAGDENHAGDONHAGGEDHAGGISHAGGLEHAGLETHAICKSHAIDUKHAIKAIHAIKUSHAILEDHAILERHAINCHHAINEDHAINTSHAIQUEHAIRDOHAIREDHAIRIFHAIRSTHAJJAHHAJJESHAJJISHAKAMSHAKARIHAKEASHAKEEMHAKIMSHALALAHALALSHALERSHALERUHALESTHALFASHALFENHALIDEHALIDSHALINGHALITEHALLAHHALLALHALLANHALLELHALLOAHALLOOHALLOSHALLOTHALLOWHALLUXHALMASHALOEDHALOESHALOIDHALONSHALSEDHALSERHALSESHALTEDHALTERHALUTZHALVAHHALVASHALVEDHALVERHALVESHAMADAHAMALSHAMATEHAMAULHAMBLEHAMINGHAMLETHAMMALHAMMAMHAMMEDHAMMERHAMOSEHAMOUSHAMPERHAMULIHAMZAHHAMZASHANAPSHANCESHANDAXHANDEDHANDERHANDLEHANGARHANGEDHANGERHANGISHANGULHANGUPHANIWAHANJARHANKEDHANKERHANKIEHANSASHANSELHANSESHANSOMHANTEDHANTLEHAOLESHAOMASHAPPEDHAPPENHAPTENHAPTICHAPUKAHAPUKUHARAMSHARASSHARBORHARDENHARDERHARDLYHAREEMHARELDHAREMSHARIMSHARINGHARIRAHARISHHARKEDHARKENHARLEDHARLOTHARMANHARMEDHARMELHARMERHARMINHARPEDHARPERHARPINHARROWHARTALHARTENHASHEDHASHESHASLETHASPEDHASSARHASSELHASSESHASSLEHASTEDHASTENHASTESHATBOXHATERSHATFULHATINGHATPEGHATPINHATREDHATTEDHATTERHAUGHSHAUGHTHAULDSHAULEDHAULERHAULMSHAULMYHAULSTHAUNCHHAUNTSHAUSEDHAUSENHAUSESHAUYNEHAVENSHAVERSHAVINGHAVIORHAVOCSHAWALAHAWINGHAWKEDHAWKERHAWKEYHAWKIEHAWKITHAWMEDHAWSEDHAWSERHAWSESHAYBOXHAYERSHAYIERHAYINGHAYLESHAYMOWHAYSELHAZANSHAZARDHAZELSHAZERSHAZIERHAZILYHAZINGHAZMATHAZZANHEADEDHEADERHEALDSHEALEDHEALEEHEALERHEALTHHEAPEDHEAPERHEARDSHEARERHEARESHEARIEHEARSEHEARSYHEARTHHEARTSHEARTYHEASTEHEASTSHEATEDHEATERHEATHSHEATHYHEAUMEHEAVEDHEAVENHEAVERHEAVESHEBENSHEBONAHECHTSHECKLEHECTICHECTORHEDDLEHEDERAHEDERSHEDGEDHEDGERHEDGESHEEDEDHEEDERHEEHAWHEELEDHEELERHEEZEDHEEZESHEEZIEHEFTEDHEFTERHEGARIHEGIRAHEIFERHEIGHTHEILEDHEINIEHEIREDHEISHIHEISTSHEJABSHEJIRAHEJRASHELIACHELINGHELIOSHELIUMHELLEDHELLERHELLOSHELMEDHELMERHELMETHELOTSHELPEDHELPERHELVEDHELVESHEMINAHEMINSHEMMEDHEMMERHEMOIDHEMPENHEMPIEHENBITHENDEDHENGESHENLEYHENNASHENNEDHENNERHENNINHENRYSHENTEDHEPARSHEPCATHEPPERHEPTADHERALDHERBALHERBARHERBEDHERDEDHERDENHERDERHERDICHEREATHEREBYHEREINHEREOFHEREONHERESYHERETOHERIEDHERIESHERIOTHERMAEHERMAIHERMITHERNIAHEROESHEROICHEROINHERONSHEROONHERPESHERSEDHERSESHERYEDHERYESHESPEDHETEROHETHERHETINGHETMANHETTIEHEUCHSHEUGHSHEVEASHEWERSHEWINGHEXACTHEXADEHEXADSHEXANEHEXENEHEXERSHEXINGHEXONEHEXOSEHEXYLSHEYDAYHEYDEYHEYINGHIATALHIATUSHICCUPHICKEYHICKIEHIDAGEHIDDENHIDDERHIDERSHIDINGHIEINGHIEMALHIGGLEHIGHEDHIGHERHIGHLYHIGHTHHIGHTSHIJABSHIJACKHIJRAHHIJRASHIKERSHIKINGHIKOISHILLEDHILLERHILLOAHILLOSHILTEDHIMBOSHINAUSHINDERHINGEDHINGERHINGESHINTEDHINTERHIPPEDHIPPENHIPPERHIPPICHIPPIEHIPPINHIPPOSHIPPUSHIRAGEHIREESHIRERSHIRINGHIRPLEHIRSELHIRSLEHISHEDHISHESHISPIDHISSEDHISSERHISSESHISTEDHISTIEHITCHYHITHERHITHESHITMANHITMENHITTERHIVERSHIVINGHIZENSHIZZEDHIZZESHOAGIEHOAINGHOARDSHOAREDHOARSEHOASTSHOAXEDHOAXERHOAXESHOBBEDHOBBERHOBBITHOBBLEHOBDAYHOBJOBHOBNOBHOBOEDHOBOESHOCKEDHOCKERHOCKEYHOCKLEHODADSHODDEDHODDENHODDINHODDLEHODJASHODMANHODMENHOEINGHOGANSHOGENSHOGGEDHOGGERHOGGETHOGGINHOGNUTHOGTIEHOHINGHOICKSHOIDENHOIKEDHOISEDHOISESHOISINHOISTSHOKIERHOKILYHOKINGHOKUMSHOLARDHOLDENHOLDERHOLDUPHOLIERHOLIESHOLILYHOLINGHOLISMHOLISTHOLKEDHOLLASHOLLERHOLLOAHOLLOOHOLLOSHOLLOWHOLMIAHOLMICHOLONSHOLPENHOMAGEHOMBREHOMELYHOMERSHOMEYSHOMIERHOMIESHOMILYHOMINGHOMINYHOMMESHOMMOSHONANSHONCHOHONDASHONDLEHONERSHONESTHONEYSHONGISHONIEDHONINGHONKEDHONKERHONKIEHONORSHONOURHOODEDHOODIAHOODIEHOODOOHOOEYSHOOFEDHOOFERHOOKAHHOOKASHOOKEDHOOKEYHOOKUPHOOLEYHOOLIEHOONEDHOOPEDHOOPERHOOPLAHOOPOEHOOPOOHOORAHHOORAYHOORDSHOOROOHOOTCHHOOTEDHOOTERHOOVEDHOOVENHOOVERHOOVESHOPDOGHOPERSHOPINGHOPPEDHOPPERHOPPLEHOPPUSHORAHSHORARYHORDEDHORDESHORKEYHORMESHORMICHORNEDHORNERHORNETHORRIDHORRORHORSEDHORSESHORSEYHORSONHORSTEHORSTSHOSELSHOSERSHOSEYSHOSIERHOSINGHOSSESHOSTASHOSTEDHOSTELHOSTIEHOSTLYHOSTRYHOTBEDHOTBOXHOTDOGHOTELSHOTPOTHOTRODHOTTEDHOTTERHOTTIEHOUDAHHOUDANHOUFEDHOUFFSHOUGHSHOUMUSHOUNDSHOURISHOURLYHOUSEDHOUSELHOUSERHOUSESHOUSEYHOUTEDHOVEASHOVELSHOVERSHOVINGHOWDAHHOWDIEHOWFEDHOWFFSHOWKEDHOWKERHOWLEDHOWLERHOWLETHOWRESHOWZATHOWZITHOXINGHOYDENHOYINGHOYLESHRYVNAHUBBLYHUBBUBHUBCAPHUBRISHUCKEDHUCKLEHUDDENHUDDLEHUDDUPHUDNASHUDUDSHUFFEDHUFFERHUGELYHUGESTHUGGEDHUGGERHUIPILHULKEDHULLEDHULLERHULLOAHULLOOHULLOSHUMANEHUMANSHUMATEHUMBLEHUMBLYHUMBUGHUMECTHUMEFYHUMERIHUMFEDHUMHUMHUMIFYHUMINTHUMITEHUMLIEHUMMEDHUMMELHUMMERHUMMLEHUMMUMHUMMUSHUMORSHUMOURHUMOUSHUMPEDHUMPENHUMPERHUMPHSHUMPTYHUMUSYHUMVEEHUNGANHUNGERHUNGRYHUNKERHUNKEYHUNKIEHUNTEDHUNTERHUPIROHUPPAHHUPPEDHUPPOTHURDENHURDLEHURLEDHURLERHURLEYHURRAHHURRASHURRAYHURSTSHURTERHURTLEHUSHEDHUSHERHUSHESHUSKEDHUSKERHUSSARHUSSESHUSSIFHUSTLEHUTIASHUTTEDHUTZPAHUZOORHUZZAHHUZZASHYAENAHYALINHYBRIDHYBRISHYDRAEHYDRASHYDRIAHYDRICHYDRIDHYDROSHYDYNEHYEINGHYENASHYENICHYETALHYLEGSHYLISMHYLISTHYMENSHYMNALHYMNEDHYMNICHYNDESHYOIDSHYPATEHYPERSHYPHAEHYPHALHYPHENHYPINGHYPNICHYPNUMHYPOEDHYPOIDHYPPEDHYSONSHYSSOPHYTHES