Both are correct depending on what you mean, I am bored- I feel bored, something is boring so it is making me bored. I am boring-I am uninteresting, I make other people feel bored. Btw- there is no saying 'my boring' it does not make sense alone like that, you would need to add something like, my boring dog just slept all day even though I wanted to play with him. Maybe you got it confused with the phrase 'my bad'

Supplement to my previous answer : Someone told me, but NOT always true : -ed ending applies to a person, -ing ending applies to something because : 1. He is bored. (He himself feels bored because something/somebody has made him have this feeling.) 2. He is a boring person. (He is dull and makes other people have this feeling.)

As a learner of English, I will remember this way: ed ending : I have this feeling myself eg I am excited. ing ending : Something that makes me/people have this feeling. eg The match is exciting. Hope it can help you to some extent. Happy learning.

thank's for your answers.. :)