Hadephobia- Fear of hell.
Hagiophobia- Fear of saints or holy things.
Hamartophobia- Fear of sinning.
Haphephobia or Haptephobia- Fear of being touched.
Harpaxophobia- Fear of being robbed.
Hedonophobia- Fear of feeling pleasure.
Heliophobia- Fear of the sun.
Hellenologophobia- Fear of Greek terms or complex scientific terminology.
Helminthophobia- Fear of being infested with worms.
Hemophobia or Hemaphobia or Hematophobia- Fear of blood.
Heresyphobia or Hereiophobia- Fear of challenges to official doctrine or of radical deviation.
Herpetophobia- Fear of reptiles or creepy, crawly things.
Heterophobia- Fear of the opposite sex. (Sexophobia)
Hexakosioihexekontahexaphobia- Fear of the number 666.
Hierophobia- Fear of priests or sacred things.
Hippophobia- Fear of horses.
Hippopotomonstrosesquipedaliophobia- Fear of long words.
Hobophobia- Fear of bums or beggars.
Hodophobia- Fear of road travel.
Hormephobia- Fear of shock.
Homichlophobia- Fear of fog.
Homilophobia- Fear of sermons.
Hominophobia- Fear of men.
Homophobia- Fear of sameness,
monotony or of homosexuality or of becoming homosexual.
Hoplophobia- Fear of firearms.
Hydrargyophobia- Fear of mercurial medicines.
Hydrophobia- Fear of water or of rabies.
Hydrophobophobia- Fear of rabies.
Hyelophobia or Hyalophobia- Fear of glass.
Hygrophobia- Fear of liquids, dampness, or moisture.
Hylephobia- Fear of materialism or the fear of epilepsy.
Hylophobia- Fear of forests.
Hypengyophobia or Hypegiaphobia- Fear of responsibility.
Hypnophobia- Fear of sleep or of being hypnotized.
Hypsiphobia- Fear of height