We can talk about things that frighten us by using these words: scare, fright, terrify and fear.

To be scared/frightened/terrified of + noun
Alice is scared of heights.
He‘s frightened of spiders.
They‘re terrified of exams.

Passive form:
Heights scare Alice.
Dogs terrify me.
Loud noises always frighten him.

To get a fright
She gets a fright every time she hears a dog bark.
I got such a fright when I saw the mouse.

To have/have got a fear of + noun
I‘ve a real fear of speaking in public.
He‘s got a fear of horses.