City list in alphabetical order:
. A . B . C . D . E . F . G . H . I . J . K . L . M . N . O . P . Q . R . S . T . U . V . W . Y .

Hackness
Haddington	Hadley
Hadley Wood	Hadlow
Hailey	Hailsham
Hale	Halford
Halifax	Halkyn
Halstead	Hambleton
Hamilton	Hampton
Handforth	Hanslope
Hanworth	Harewood
Harlech	Harlow
Harmondsworth	Harpenden
Harrietsham	Harrogate
Harrow	Harrow On The Hill
Harthill	Hartlepool
Hartley Row	Hartpury
Harvington	Harwich
Haslemere	Haslingden
Hastings	Hatch Beauchamp
Hatfield	Hathersage
Hatton	Havant
Haverfordwest	Haverhill
Hawes	Hawick
Hawkchurch	Hawnby
Haworth	Haydock
Hayes	Haywards Heath
Headcorn	Headlam
Heathrow	Hebden Bridge
Heckfield	Hellaby
Hellingly	Helmsdale
Helmsley	Helston
Hemel Hempstead	Henfield
Henley In Arden	Henley On Thames
Hensol	Hereford
Herstmonceux	Hertingfordbury
Heswall	Hexham
Heywood	High Wycombe
Highbridge	Higher Burwardsley
Hillingdon	Hinckley
Hinton	Hirwaun
Hitchin	Holbeach
Holmes Chapel	Holmfirth
Holsworthy	Holywell
Holywood	Honingham
Honiton	Hook
Hopwood	Horley
Horncastle	Hornchurch
Horndean	Horseheath
Horsham	Horsington
Horton	Hounslow
Hove	Hovingham
Howden	Howwood
Huby	Huddersfield
Hundon	Hungerford
Hunstanton	Huntingdon
Hurley	Huxley
Hyde	Hythe